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Finding the Third Proportional to 252,657.56 and 547,808.06

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Solution

The third proportional to 252,657.56 and 547,808.06 is: 1,187,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,657.56 : 547,808.06 = 547,808.06 : x
  2. Step 2: Convert to fraction form
    252,657.56/547,808.06 = 547,808.06/x
  3. Step 3: Cross multiply
    252,657.56x = 547,808.06 × 547,808.06
  4. Step 4: Simplify right side
    252,657.56x = 300,093,673,340.00
  5. Step 5: Solve for x
    x = 300,093,673,340.00/252,657.56
  6. Step 6: Final answer
    x = 1,187,748.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.