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Finding the Third Proportional to 375,913.13 and 826,255.13

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Solution

The third proportional to 375,913.13 and 826,255.13 is: 1,816,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,913.13 : 826,255.13 = 826,255.13 : x
  2. Step 2: Convert to fraction form
    375,913.13/826,255.13 = 826,255.13/x
  3. Step 3: Cross multiply
    375,913.13x = 826,255.13 × 826,255.13
  4. Step 4: Simplify right side
    375,913.13x = 682,697,531,588.77
  5. Step 5: Solve for x
    x = 682,697,531,588.77/375,913.13
  6. Step 6: Final answer
    x = 1,816,104.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.