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Finding the Third Proportional to 465,764 and 683,312

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Solution

The third proportional to 465,764 and 683,312 is: 1,002,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,764 : 683,312 = 683,312 : x
  2. Step 2: Convert to fraction form
    465,764/683,312 = 683,312/x
  3. Step 3: Cross multiply
    465,764x = 683,312 × 683,312
  4. Step 4: Simplify right side
    465,764x = 466,915,289,344
  5. Step 5: Solve for x
    x = 466,915,289,344/465,764
  6. Step 6: Final answer
    x = 1,002,471.83

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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.