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Finding the Third Proportional to 297,386,741.25 and 418,046,659.88

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Solution

The third proportional to 297,386,741.25 and 418,046,659.88 is: 587,662,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386,741.25 : 418,046,659.88 = 418,046,659.88 : x
  2. Step 2: Convert to fraction form
    297,386,741.25/418,046,659.88 = 418,046,659.88/x
  3. Step 3: Cross multiply
    297,386,741.25x = 418,046,659.88 × 418,046,659.88
  4. Step 4: Simplify right side
    297,386,741.25x = 174,763,009,832,643,936
  5. Step 5: Solve for x
    x = 174,763,009,832,643,936/297,386,741.25
  6. Step 6: Final answer
    x = 587,662,412.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.