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Finding the Third Proportional to 588,512.30 and 832,974.10

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Solution

The third proportional to 588,512.30 and 832,974.10 is: 1,178,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,512.30 : 832,974.10 = 832,974.10 : x
  2. Step 2: Convert to fraction form
    588,512.30/832,974.10 = 832,974.10/x
  3. Step 3: Cross multiply
    588,512.30x = 832,974.10 × 832,974.10
  4. Step 4: Simplify right side
    588,512.30x = 693,845,850,620.06
  5. Step 5: Solve for x
    x = 693,845,850,620.06/588,512.30
  6. Step 6: Final answer
    x = 1,178,982.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.