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Finding the Third Proportional to 402,314 and 607,570

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Solution

The third proportional to 402,314 and 607,570 is: 917,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,314 : 607,570 = 607,570 : x
  2. Step 2: Convert to fraction form
    402,314/607,570 = 607,570/x
  3. Step 3: Cross multiply
    402,314x = 607,570 × 607,570
  4. Step 4: Simplify right side
    402,314x = 369,141,304,900
  5. Step 5: Solve for x
    x = 369,141,304,900/402,314
  6. Step 6: Final answer
    x = 917,545.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.