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Finding the Third Proportional to 538,357.50 and 784,167.75

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Solution

The third proportional to 538,357.50 and 784,167.75 is: 1,142,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,357.50 : 784,167.75 = 784,167.75 : x
  2. Step 2: Convert to fraction form
    538,357.50/784,167.75 = 784,167.75/x
  3. Step 3: Cross multiply
    538,357.50x = 784,167.75 × 784,167.75
  4. Step 4: Simplify right side
    538,357.50x = 614,919,060,140.06
  5. Step 5: Solve for x
    x = 614,919,060,140.06/538,357.50
  6. Step 6: Final answer
    x = 1,142,213.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.