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Finding the Third Proportional to 582,616 and 787,156

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Solution

The third proportional to 582,616 and 787,156 is: 1,063,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,616 : 787,156 = 787,156 : x
  2. Step 2: Convert to fraction form
    582,616/787,156 = 787,156/x
  3. Step 3: Cross multiply
    582,616x = 787,156 × 787,156
  4. Step 4: Simplify right side
    582,616x = 619,614,568,336
  5. Step 5: Solve for x
    x = 619,614,568,336/582,616
  6. Step 6: Final answer
    x = 1,063,504.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.