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Finding the Third Proportional to 538,847.50 and 784,578.75

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Solution

The third proportional to 538,847.50 and 784,578.75 is: 1,142,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,847.50 : 784,578.75 = 784,578.75 : x
  2. Step 2: Convert to fraction form
    538,847.50/784,578.75 = 784,578.75/x
  3. Step 3: Cross multiply
    538,847.50x = 784,578.75 × 784,578.75
  4. Step 4: Simplify right side
    538,847.50x = 615,563,814,951.56
  5. Step 5: Solve for x
    x = 615,563,814,951.56/538,847.50
  6. Step 6: Final answer
    x = 1,142,371.11

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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.