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Finding the Third Proportional to 523,227.50 and 784,841.50

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Solution

The third proportional to 523,227.50 and 784,841.50 is: 1,177,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,227.50 : 784,841.50 = 784,841.50 : x
  2. Step 2: Convert to fraction form
    523,227.50/784,841.50 = 784,841.50/x
  3. Step 3: Cross multiply
    523,227.50x = 784,841.50 × 784,841.50
  4. Step 4: Simplify right side
    523,227.50x = 615,976,180,122.25
  5. Step 5: Solve for x
    x = 615,976,180,122.25/523,227.50
  6. Step 6: Final answer
    x = 1,177,262.63

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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.