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Finding the Third Proportional to 250,721 and 522,177.50

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Solution

The third proportional to 250,721 and 522,177.50 is: 1,087,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,721 : 522,177.50 = 522,177.50 : x
  2. Step 2: Convert to fraction form
    250,721/522,177.50 = 522,177.50/x
  3. Step 3: Cross multiply
    250,721x = 522,177.50 × 522,177.50
  4. Step 4: Simplify right side
    250,721x = 272,669,341,506.25
  5. Step 5: Solve for x
    x = 272,669,341,506.25/250,721
  6. Step 6: Final answer
    x = 1,087,540.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.