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Finding the Third Proportional to 253,917 and 546,581

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Solution

The third proportional to 253,917 and 546,581 is: 1,176,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,917 : 546,581 = 546,581 : x
  2. Step 2: Convert to fraction form
    253,917/546,581 = 546,581/x
  3. Step 3: Cross multiply
    253,917x = 546,581 × 546,581
  4. Step 4: Simplify right side
    253,917x = 298,750,789,561
  5. Step 5: Solve for x
    x = 298,750,789,561/253,917
  6. Step 6: Final answer
    x = 1,176,568.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.