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Finding the Third Proportional to 247,182 and 539,670

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Solution

The third proportional to 247,182 and 539,670 is: 1,178,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,182 : 539,670 = 539,670 : x
  2. Step 2: Convert to fraction form
    247,182/539,670 = 539,670/x
  3. Step 3: Cross multiply
    247,182x = 539,670 × 539,670
  4. Step 4: Simplify right side
    247,182x = 291,243,708,900
  5. Step 5: Solve for x
    x = 291,243,708,900/247,182
  6. Step 6: Final answer
    x = 1,178,256.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.