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Finding the Third Proportional to 268,941 and 579,376

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Solution

The third proportional to 268,941 and 579,376 is: 1,248,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,941 : 579,376 = 579,376 : x
  2. Step 2: Convert to fraction form
    268,941/579,376 = 579,376/x
  3. Step 3: Cross multiply
    268,941x = 579,376 × 579,376
  4. Step 4: Simplify right side
    268,941x = 335,676,549,376
  5. Step 5: Solve for x
    x = 335,676,549,376/268,941
  6. Step 6: Final answer
    x = 1,248,141.97

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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.