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Finding the Third Proportional to 582,640 and 787,192

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Solution

The third proportional to 582,640 and 787,192 is: 1,063,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,640 : 787,192 = 787,192 : x
  2. Step 2: Convert to fraction form
    582,640/787,192 = 787,192/x
  3. Step 3: Cross multiply
    582,640x = 787,192 × 787,192
  4. Step 4: Simplify right side
    582,640x = 619,671,244,864
  5. Step 5: Solve for x
    x = 619,671,244,864/582,640
  6. Step 6: Final answer
    x = 1,063,557.68

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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.