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Finding the Third Proportional to 534,496 and 784,217

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Solution

The third proportional to 534,496 and 784,217 is: 1,150,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,496 : 784,217 = 784,217 : x
  2. Step 2: Convert to fraction form
    534,496/784,217 = 784,217/x
  3. Step 3: Cross multiply
    534,496x = 784,217 × 784,217
  4. Step 4: Simplify right side
    534,496x = 614,996,303,089
  5. Step 5: Solve for x
    x = 614,996,303,089/534,496
  6. Step 6: Final answer
    x = 1,150,609.74

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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.