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Finding the Third Proportional to 270,496 and 582,560

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Solution

The third proportional to 270,496 and 582,560 is: 1,254,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496 : 582,560 = 582,560 : x
  2. Step 2: Convert to fraction form
    270,496/582,560 = 582,560/x
  3. Step 3: Cross multiply
    270,496x = 582,560 × 582,560
  4. Step 4: Simplify right side
    270,496x = 339,376,153,600
  5. Step 5: Solve for x
    x = 339,376,153,600/270,496
  6. Step 6: Final answer
    x = 1,254,643.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.