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Finding the Third Proportional to 371,432 and 801,976

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Solution

The third proportional to 371,432 and 801,976 is: 1,731,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,432 : 801,976 = 801,976 : x
  2. Step 2: Convert to fraction form
    371,432/801,976 = 801,976/x
  3. Step 3: Cross multiply
    371,432x = 801,976 × 801,976
  4. Step 4: Simplify right side
    371,432x = 643,165,504,576
  5. Step 5: Solve for x
    x = 643,165,504,576/371,432
  6. Step 6: Final answer
    x = 1,731,583.45

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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.