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Finding the Third Proportional to 241,412 and 354,719

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Solution

The third proportional to 241,412 and 354,719 is: 521,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,412 : 354,719 = 354,719 : x
  2. Step 2: Convert to fraction form
    241,412/354,719 = 354,719/x
  3. Step 3: Cross multiply
    241,412x = 354,719 × 354,719
  4. Step 4: Simplify right side
    241,412x = 125,825,568,961
  5. Step 5: Solve for x
    x = 125,825,568,961/241,412
  6. Step 6: Final answer
    x = 521,206.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.