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Finding the Third Proportional to 268,724 and 586,568

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Solution

The third proportional to 268,724 and 586,568 is: 1,280,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,724 : 586,568 = 586,568 : x
  2. Step 2: Convert to fraction form
    268,724/586,568 = 586,568/x
  3. Step 3: Cross multiply
    268,724x = 586,568 × 586,568
  4. Step 4: Simplify right side
    268,724x = 344,062,018,624
  5. Step 5: Solve for x
    x = 344,062,018,624/268,724
  6. Step 6: Final answer
    x = 1,280,354.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.