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Finding the Third Proportional to 250,750.69 and 547,200.56

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Solution

The third proportional to 250,750.69 and 547,200.56 is: 1,194,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,750.69 : 547,200.56 = 547,200.56 : x
  2. Step 2: Convert to fraction form
    250,750.69/547,200.56 = 547,200.56/x
  3. Step 3: Cross multiply
    250,750.69x = 547,200.56 × 547,200.56
  4. Step 4: Simplify right side
    250,750.69x = 299,428,455,600.32
  5. Step 5: Solve for x
    x = 299,428,455,600.32/250,750.69
  6. Step 6: Final answer
    x = 1,194,128.15

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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.