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Finding the Third Proportional to 251,390 and 547,006

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Solution

The third proportional to 251,390 and 547,006 is: 1,190,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,390 : 547,006 = 547,006 : x
  2. Step 2: Convert to fraction form
    251,390/547,006 = 547,006/x
  3. Step 3: Cross multiply
    251,390x = 547,006 × 547,006
  4. Step 4: Simplify right side
    251,390x = 299,215,564,036
  5. Step 5: Solve for x
    x = 299,215,564,036/251,390
  6. Step 6: Final answer
    x = 1,190,244.50

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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.