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Finding the Third Proportional to 251,235 and 547,566

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Solution

The third proportional to 251,235 and 547,566 is: 1,193,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,235 : 547,566 = 547,566 : x
  2. Step 2: Convert to fraction form
    251,235/547,566 = 547,566/x
  3. Step 3: Cross multiply
    251,235x = 547,566 × 547,566
  4. Step 4: Simplify right side
    251,235x = 299,828,524,356
  5. Step 5: Solve for x
    x = 299,828,524,356/251,235
  6. Step 6: Final answer
    x = 1,193,418.61

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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.