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Finding the Third Proportional to 241,574 and 361,785

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Solution

The third proportional to 241,574 and 361,785 is: 541,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,574 : 361,785 = 361,785 : x
  2. Step 2: Convert to fraction form
    241,574/361,785 = 361,785/x
  3. Step 3: Cross multiply
    241,574x = 361,785 × 361,785
  4. Step 4: Simplify right side
    241,574x = 130,888,386,225
  5. Step 5: Solve for x
    x = 130,888,386,225/241,574
  6. Step 6: Final answer
    x = 541,814.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.