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Finding the Third Proportional to 534,493.69 and 784,214.16

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Solution

The third proportional to 534,493.69 and 784,214.16 is: 1,150,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,493.69 : 784,214.16 = 784,214.16 : x
  2. Step 2: Convert to fraction form
    534,493.69/784,214.16 = 784,214.16/x
  3. Step 3: Cross multiply
    534,493.69x = 784,214.16 × 784,214.16
  4. Step 4: Simplify right side
    534,493.69x = 614,991,842,862.90
  5. Step 5: Solve for x
    x = 614,991,842,862.90/534,493.69
  6. Step 6: Final answer
    x = 1,150,606.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.