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Finding the Third Proportional to 247,140 and 539,584

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Solution

The third proportional to 247,140 and 539,584 is: 1,178,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,140 : 539,584 = 539,584 : x
  2. Step 2: Convert to fraction form
    247,140/539,584 = 539,584/x
  3. Step 3: Cross multiply
    247,140x = 539,584 × 539,584
  4. Step 4: Simplify right side
    247,140x = 291,150,893,056
  5. Step 5: Solve for x
    x = 291,150,893,056/247,140
  6. Step 6: Final answer
    x = 1,178,080.82

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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.