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Finding the Third Proportional to 247,116 and 539,551

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Solution

The third proportional to 247,116 and 539,551 is: 1,178,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,116 : 539,551 = 539,551 : x
  2. Step 2: Convert to fraction form
    247,116/539,551 = 539,551/x
  3. Step 3: Cross multiply
    247,116x = 539,551 × 539,551
  4. Step 4: Simplify right side
    247,116x = 291,115,281,601
  5. Step 5: Solve for x
    x = 291,115,281,601/247,116
  6. Step 6: Final answer
    x = 1,178,051.12

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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.