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Finding the Third Proportional to 207,662 and 315,597

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Solution

The third proportional to 207,662 and 315,597 is: 479,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,662 : 315,597 = 315,597 : x
  2. Step 2: Convert to fraction form
    207,662/315,597 = 315,597/x
  3. Step 3: Cross multiply
    207,662x = 315,597 × 315,597
  4. Step 4: Simplify right side
    207,662x = 99,601,466,409
  5. Step 5: Solve for x
    x = 99,601,466,409/207,662
  6. Step 6: Final answer
    x = 479,632.61

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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.