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Finding the Third Proportional to 316,147.50 and 474,227.50

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Solution

The third proportional to 316,147.50 and 474,227.50 is: 711,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,147.50 : 474,227.50 = 474,227.50 : x
  2. Step 2: Convert to fraction form
    316,147.50/474,227.50 = 474,227.50/x
  3. Step 3: Cross multiply
    316,147.50x = 474,227.50 × 474,227.50
  4. Step 4: Simplify right side
    316,147.50x = 224,891,721,756.25
  5. Step 5: Solve for x
    x = 224,891,721,756.25/316,147.50
  6. Step 6: Final answer
    x = 711,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.