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Finding the Third Proportional to 582,638 and 787,188

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Solution

The third proportional to 582,638 and 787,188 is: 1,063,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,638 : 787,188 = 787,188 : x
  2. Step 2: Convert to fraction form
    582,638/787,188 = 787,188/x
  3. Step 3: Cross multiply
    582,638x = 787,188 × 787,188
  4. Step 4: Simplify right side
    582,638x = 619,664,947,344
  5. Step 5: Solve for x
    x = 619,664,947,344/582,638
  6. Step 6: Final answer
    x = 1,063,550.52

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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.