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Finding the Third Proportional to 686,535.75 and 998,638.88

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Solution

The third proportional to 686,535.75 and 998,638.88 is: 1,452,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,535.75 : 998,638.88 = 998,638.88 : x
  2. Step 2: Convert to fraction form
    686,535.75/998,638.88 = 998,638.88/x
  3. Step 3: Cross multiply
    686,535.75x = 998,638.88 × 998,638.88
  4. Step 4: Simplify right side
    686,535.75x = 997,279,602,661.27
  5. Step 5: Solve for x
    x = 997,279,602,661.27/686,535.75
  6. Step 6: Final answer
    x = 1,452,625.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.