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Finding the Third Proportional to 425,428 and 658,656

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Solution

The third proportional to 425,428 and 658,656 is: 1,019,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,428 : 658,656 = 658,656 : x
  2. Step 2: Convert to fraction form
    425,428/658,656 = 658,656/x
  3. Step 3: Cross multiply
    425,428x = 658,656 × 658,656
  4. Step 4: Simplify right side
    425,428x = 433,827,726,336
  5. Step 5: Solve for x
    x = 433,827,726,336/425,428
  6. Step 6: Final answer
    x = 1,019,744.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.