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Finding the Third Proportional to 268,232 and 582,598

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Solution

The third proportional to 268,232 and 582,598 is: 1,265,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,232 : 582,598 = 582,598 : x
  2. Step 2: Convert to fraction form
    268,232/582,598 = 582,598/x
  3. Step 3: Cross multiply
    268,232x = 582,598 × 582,598
  4. Step 4: Simplify right side
    268,232x = 339,420,429,604
  5. Step 5: Solve for x
    x = 339,420,429,604/268,232
  6. Step 6: Final answer
    x = 1,265,398.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.