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Finding the Third Proportional to 252,669 and 547,830

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Solution

The third proportional to 252,669 and 547,830 is: 1,187,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,669 : 547,830 = 547,830 : x
  2. Step 2: Convert to fraction form
    252,669/547,830 = 547,830/x
  3. Step 3: Cross multiply
    252,669x = 547,830 × 547,830
  4. Step 4: Simplify right side
    252,669x = 300,117,708,900
  5. Step 5: Solve for x
    x = 300,117,708,900/252,669
  6. Step 6: Final answer
    x = 1,187,789.99

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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.