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Finding the Third Proportional to 186,493 and 402,471

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Solution

The third proportional to 186,493 and 402,471 is: 868,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,493 : 402,471 = 402,471 : x
  2. Step 2: Convert to fraction form
    186,493/402,471 = 402,471/x
  3. Step 3: Cross multiply
    186,493x = 402,471 × 402,471
  4. Step 4: Simplify right side
    186,493x = 161,982,905,841
  5. Step 5: Solve for x
    x = 161,982,905,841/186,493
  6. Step 6: Final answer
    x = 868,573.65

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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.