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Finding the Third Proportional to 186,464 and 402,412

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Solution

The third proportional to 186,464 and 402,412 is: 868,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,464 : 402,412 = 402,412 : x
  2. Step 2: Convert to fraction form
    186,464/402,412 = 402,412/x
  3. Step 3: Cross multiply
    186,464x = 402,412 × 402,412
  4. Step 4: Simplify right side
    186,464x = 161,935,417,744
  5. Step 5: Solve for x
    x = 161,935,417,744/186,464
  6. Step 6: Final answer
    x = 868,454.06

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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.