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Finding the Third Proportional to 415,262 and 548,670

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Solution

The third proportional to 415,262 and 548,670 is: 724,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,262 : 548,670 = 548,670 : x
  2. Step 2: Convert to fraction form
    415,262/548,670 = 548,670/x
  3. Step 3: Cross multiply
    415,262x = 548,670 × 548,670
  4. Step 4: Simplify right side
    415,262x = 301,038,768,900
  5. Step 5: Solve for x
    x = 301,038,768,900/415,262
  6. Step 6: Final answer
    x = 724,936.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.