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Finding the Third Proportional to 588,512.46 and 887,097.13

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Solution

The third proportional to 588,512.46 and 887,097.13 is: 1,337,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,512.46 : 887,097.13 = 887,097.13 : x
  2. Step 2: Convert to fraction form
    588,512.46/887,097.13 = 887,097.13/x
  3. Step 3: Cross multiply
    588,512.46x = 887,097.13 × 887,097.13
  4. Step 4: Simplify right side
    588,512.46x = 786,941,316,113.71
  5. Step 5: Solve for x
    x = 786,941,316,113.71/588,512.46
  6. Step 6: Final answer
    x = 1,337,170.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.