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Finding the Third Proportional to 541,819.13 and 858,655.69

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Solution

The third proportional to 541,819.13 and 858,655.69 is: 1,360,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,819.13 : 858,655.69 = 858,655.69 : x
  2. Step 2: Convert to fraction form
    541,819.13/858,655.69 = 858,655.69/x
  3. Step 3: Cross multiply
    541,819.13x = 858,655.69 × 858,655.69
  4. Step 4: Simplify right side
    541,819.13x = 737,289,589,676.10
  5. Step 5: Solve for x
    x = 737,289,589,676.10/541,819.13
  6. Step 6: Final answer
    x = 1,360,767.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.