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Finding the Third Proportional to 310,986 and 466,398

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Solution

The third proportional to 310,986 and 466,398 is: 699,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986 : 466,398 = 466,398 : x
  2. Step 2: Convert to fraction form
    310,986/466,398 = 466,398/x
  3. Step 3: Cross multiply
    310,986x = 466,398 × 466,398
  4. Step 4: Simplify right side
    310,986x = 217,527,094,404
  5. Step 5: Solve for x
    x = 217,527,094,404/310,986
  6. Step 6: Final answer
    x = 699,475.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.