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Finding the Third Proportional to 402,222 and 591,020

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Solution

The third proportional to 402,222 and 591,020 is: 868,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,222 : 591,020 = 591,020 : x
  2. Step 2: Convert to fraction form
    402,222/591,020 = 591,020/x
  3. Step 3: Cross multiply
    402,222x = 591,020 × 591,020
  4. Step 4: Simplify right side
    402,222x = 349,304,640,400
  5. Step 5: Solve for x
    x = 349,304,640,400/402,222
  6. Step 6: Final answer
    x = 868,437.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.