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Finding the Third Proportional to 273,827 and 588,397

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Solution

The third proportional to 273,827 and 588,397 is: 1,264,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,827 : 588,397 = 588,397 : x
  2. Step 2: Convert to fraction form
    273,827/588,397 = 588,397/x
  3. Step 3: Cross multiply
    273,827x = 588,397 × 588,397
  4. Step 4: Simplify right side
    273,827x = 346,211,029,609
  5. Step 5: Solve for x
    x = 346,211,029,609/273,827
  6. Step 6: Final answer
    x = 1,264,342.19

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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.