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Finding the Third Proportional to 514,350 and 791,073

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Solution

The third proportional to 514,350 and 791,073 is: 1,216,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,350 : 791,073 = 791,073 : x
  2. Step 2: Convert to fraction form
    514,350/791,073 = 791,073/x
  3. Step 3: Cross multiply
    514,350x = 791,073 × 791,073
  4. Step 4: Simplify right side
    514,350x = 625,796,491,329
  5. Step 5: Solve for x
    x = 625,796,491,329/514,350
  6. Step 6: Final answer
    x = 1,216,674.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.