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Finding the Third Proportional to 292,988 and 627,448

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Solution

The third proportional to 292,988 and 627,448 is: 1,343,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,988 : 627,448 = 627,448 : x
  2. Step 2: Convert to fraction form
    292,988/627,448 = 627,448/x
  3. Step 3: Cross multiply
    292,988x = 627,448 × 627,448
  4. Step 4: Simplify right side
    292,988x = 393,690,992,704
  5. Step 5: Solve for x
    x = 393,690,992,704/292,988
  6. Step 6: Final answer
    x = 1,343,710.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.