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Finding the Third Proportional to 207,432 and 314,867

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Solution

The third proportional to 207,432 and 314,867 is: 477,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,432 : 314,867 = 314,867 : x
  2. Step 2: Convert to fraction form
    207,432/314,867 = 314,867/x
  3. Step 3: Cross multiply
    207,432x = 314,867 × 314,867
  4. Step 4: Simplify right side
    207,432x = 99,141,227,689
  5. Step 5: Solve for x
    x = 99,141,227,689/207,432
  6. Step 6: Final answer
    x = 477,945.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.