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Finding the Third Proportional to 683,132.50 and 1,002,543

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Solution

The third proportional to 683,132.50 and 1,002,543 is: 1,471,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,132.50 : 1,002,543 = 1,002,543 : x
  2. Step 2: Convert to fraction form
    683,132.50/1,002,543 = 1,002,543/x
  3. Step 3: Cross multiply
    683,132.50x = 1,002,543 × 1,002,543
  4. Step 4: Simplify right side
    683,132.50x = 1,005,092,466,849
  5. Step 5: Solve for x
    x = 1,005,092,466,849/683,132.50
  6. Step 6: Final answer
    x = 1,471,299.44

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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.