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Finding the Third Proportional to 648,332 and 951,478

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Solution

The third proportional to 648,332 and 951,478 is: 1,396,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,332 : 951,478 = 951,478 : x
  2. Step 2: Convert to fraction form
    648,332/951,478 = 951,478/x
  3. Step 3: Cross multiply
    648,332x = 951,478 × 951,478
  4. Step 4: Simplify right side
    648,332x = 905,310,384,484
  5. Step 5: Solve for x
    x = 905,310,384,484/648,332
  6. Step 6: Final answer
    x = 1,396,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.