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Finding the Third Proportional to 465,766 and 683,315

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Solution

The third proportional to 465,766 and 683,315 is: 1,002,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,766 : 683,315 = 683,315 : x
  2. Step 2: Convert to fraction form
    465,766/683,315 = 683,315/x
  3. Step 3: Cross multiply
    465,766x = 683,315 × 683,315
  4. Step 4: Simplify right side
    465,766x = 466,919,389,225
  5. Step 5: Solve for x
    x = 466,919,389,225/465,766
  6. Step 6: Final answer
    x = 1,002,476.33

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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.