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Finding the Third Proportional to 322,456.50 and 683,328

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Solution

The third proportional to 322,456.50 and 683,328 is: 1,448,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,456.50 : 683,328 = 683,328 : x
  2. Step 2: Convert to fraction form
    322,456.50/683,328 = 683,328/x
  3. Step 3: Cross multiply
    322,456.50x = 683,328 × 683,328
  4. Step 4: Simplify right side
    322,456.50x = 466,937,155,584
  5. Step 5: Solve for x
    x = 466,937,155,584/322,456.50
  6. Step 6: Final answer
    x = 1,448,062.47

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