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Finding the Third Proportional to 322,472 and 683,359

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Solution

The third proportional to 322,472 and 683,359 is: 1,448,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472 : 683,359 = 683,359 : x
  2. Step 2: Convert to fraction form
    322,472/683,359 = 683,359/x
  3. Step 3: Cross multiply
    322,472x = 683,359 × 683,359
  4. Step 4: Simplify right side
    322,472x = 466,979,522,881
  5. Step 5: Solve for x
    x = 466,979,522,881/322,472
  6. Step 6: Final answer
    x = 1,448,124.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.