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Finding the Third Proportional to 254,621.25 and 558,205.88

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Solution

The third proportional to 254,621.25 and 558,205.88 is: 1,223,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,621.25 : 558,205.88 = 558,205.88 : x
  2. Step 2: Convert to fraction form
    254,621.25/558,205.88 = 558,205.88/x
  3. Step 3: Cross multiply
    254,621.25x = 558,205.88 × 558,205.88
  4. Step 4: Simplify right side
    254,621.25x = 311,593,798,884.52
  5. Step 5: Solve for x
    x = 311,593,798,884.52/254,621.25
  6. Step 6: Final answer
    x = 1,223,754.10

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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.