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Finding the Third Proportional to 268,466 and 578,963

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Solution

The third proportional to 268,466 and 578,963 is: 1,248,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,466 : 578,963 = 578,963 : x
  2. Step 2: Convert to fraction form
    268,466/578,963 = 578,963/x
  3. Step 3: Cross multiply
    268,466x = 578,963 × 578,963
  4. Step 4: Simplify right side
    268,466x = 335,198,155,369
  5. Step 5: Solve for x
    x = 335,198,155,369/268,466
  6. Step 6: Final answer
    x = 1,248,568.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.