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Finding the Third Proportional to 588,397.50 and 1,270,107

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Solution

The third proportional to 588,397.50 and 1,270,107 is: 2,741,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,397.50 : 1,270,107 = 1,270,107 : x
  2. Step 2: Convert to fraction form
    588,397.50/1,270,107 = 1,270,107/x
  3. Step 3: Cross multiply
    588,397.50x = 1,270,107 × 1,270,107
  4. Step 4: Simplify right side
    588,397.50x = 1,613,171,791,449
  5. Step 5: Solve for x
    x = 1,613,171,791,449/588,397.50
  6. Step 6: Final answer
    x = 2,741,636.04

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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.