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Finding the Third Proportional to 402,361 and 870,059

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Solution

The third proportional to 402,361 and 870,059 is: 1,881,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,361 : 870,059 = 870,059 : x
  2. Step 2: Convert to fraction form
    402,361/870,059 = 870,059/x
  3. Step 3: Cross multiply
    402,361x = 870,059 × 870,059
  4. Step 4: Simplify right side
    402,361x = 757,002,663,481
  5. Step 5: Solve for x
    x = 757,002,663,481/402,361
  6. Step 6: Final answer
    x = 1,881,401.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.