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Finding the Third Proportional to 652,924.13 and 998,704.13

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Solution

The third proportional to 652,924.13 and 998,704.13 is: 1,527,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,924.13 : 998,704.13 = 998,704.13 : x
  2. Step 2: Convert to fraction form
    652,924.13/998,704.13 = 998,704.13/x
  3. Step 3: Cross multiply
    652,924.13x = 998,704.13 × 998,704.13
  4. Step 4: Simplify right side
    652,924.13x = 997,409,929,292.02
  5. Step 5: Solve for x
    x = 997,409,929,292.02/652,924.13
  6. Step 6: Final answer
    x = 1,527,604.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.