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Finding the Third Proportional to 465,001 and 658,156

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Solution

The third proportional to 465,001 and 658,156 is: 931,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,001 : 658,156 = 658,156 : x
  2. Step 2: Convert to fraction form
    465,001/658,156 = 658,156/x
  3. Step 3: Cross multiply
    465,001x = 658,156 × 658,156
  4. Step 4: Simplify right side
    465,001x = 433,169,320,336
  5. Step 5: Solve for x
    x = 433,169,320,336/465,001
  6. Step 6: Final answer
    x = 931,544.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.