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Finding the Third Proportional to 251,332.50 and 546,982.50

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Solution

The third proportional to 251,332.50 and 546,982.50 is: 1,190,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,332.50 : 546,982.50 = 546,982.50 : x
  2. Step 2: Convert to fraction form
    251,332.50/546,982.50 = 546,982.50/x
  3. Step 3: Cross multiply
    251,332.50x = 546,982.50 × 546,982.50
  4. Step 4: Simplify right side
    251,332.50x = 299,189,855,306.25
  5. Step 5: Solve for x
    x = 299,189,855,306.25/251,332.50
  6. Step 6: Final answer
    x = 1,190,414.51

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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.