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Finding the Third Proportional to 254,827,579.50 and 558,275,429.25

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Solution

The third proportional to 254,827,579.50 and 558,275,429.25 is: 1,223,067,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,827,579.50 : 558,275,429.25 = 558,275,429.25 : x
  2. Step 2: Convert to fraction form
    254,827,579.50/558,275,429.25 = 558,275,429.25/x
  3. Step 3: Cross multiply
    254,827,579.50x = 558,275,429.25 × 558,275,429.25
  4. Step 4: Simplify right side
    254,827,579.50x = 311,671,454,904,271,744
  5. Step 5: Solve for x
    x = 311,671,454,904,271,744/254,827,579.50
  6. Step 6: Final answer
    x = 1,223,067,987.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.