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Finding the Third Proportional to 272,496 and 582,896

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Solution

The third proportional to 272,496 and 582,896 is: 1,246,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,496 : 582,896 = 582,896 : x
  2. Step 2: Convert to fraction form
    272,496/582,896 = 582,896/x
  3. Step 3: Cross multiply
    272,496x = 582,896 × 582,896
  4. Step 4: Simplify right side
    272,496x = 339,767,746,816
  5. Step 5: Solve for x
    x = 339,767,746,816/272,496
  6. Step 6: Final answer
    x = 1,246,872.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.