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Finding the Third Proportional to 265,424 and 582,624

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Solution

The third proportional to 265,424 and 582,624 is: 1,278,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,424 : 582,624 = 582,624 : x
  2. Step 2: Convert to fraction form
    265,424/582,624 = 582,624/x
  3. Step 3: Cross multiply
    265,424x = 582,624 × 582,624
  4. Step 4: Simplify right side
    265,424x = 339,450,725,376
  5. Step 5: Solve for x
    x = 339,450,725,376/265,424
  6. Step 6: Final answer
    x = 1,278,899.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.