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Finding the Third Proportional to 271,342 and 578,708

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Solution

The third proportional to 271,342 and 578,708 is: 1,234,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,342 : 578,708 = 578,708 : x
  2. Step 2: Convert to fraction form
    271,342/578,708 = 578,708/x
  3. Step 3: Cross multiply
    271,342x = 578,708 × 578,708
  4. Step 4: Simplify right side
    271,342x = 334,902,949,264
  5. Step 5: Solve for x
    x = 334,902,949,264/271,342
  6. Step 6: Final answer
    x = 1,234,246.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.