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Finding the Third Proportional to 541,609.03 and 835,768.13

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Solution

The third proportional to 541,609.03 and 835,768.13 is: 1,289,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,609.03 : 835,768.13 = 835,768.13 : x
  2. Step 2: Convert to fraction form
    541,609.03/835,768.13 = 835,768.13/x
  3. Step 3: Cross multiply
    541,609.03x = 835,768.13 × 835,768.13
  4. Step 4: Simplify right side
    541,609.03x = 698,508,358,766.02
  5. Step 5: Solve for x
    x = 698,508,358,766.02/541,609.03
  6. Step 6: Final answer
    x = 1,289,691.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.