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Finding the Third Proportional to 606,233.50 and 842,919.25

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Solution

The third proportional to 606,233.50 and 842,919.25 is: 1,172,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,233.50 : 842,919.25 = 842,919.25 : x
  2. Step 2: Convert to fraction form
    606,233.50/842,919.25 = 842,919.25/x
  3. Step 3: Cross multiply
    606,233.50x = 842,919.25 × 842,919.25
  4. Step 4: Simplify right side
    606,233.50x = 710,512,862,020.56
  5. Step 5: Solve for x
    x = 710,512,862,020.56/606,233.50
  6. Step 6: Final answer
    x = 1,172,011.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.