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Finding the Third Proportional to 247,169 and 539,644

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Solution

The third proportional to 247,169 and 539,644 is: 1,178,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,169 : 539,644 = 539,644 : x
  2. Step 2: Convert to fraction form
    247,169/539,644 = 539,644/x
  3. Step 3: Cross multiply
    247,169x = 539,644 × 539,644
  4. Step 4: Simplify right side
    247,169x = 291,215,646,736
  5. Step 5: Solve for x
    x = 291,215,646,736/247,169
  6. Step 6: Final answer
    x = 1,178,204.58

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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.