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Finding the Third Proportional to 241,674 and 524,868

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Solution

The third proportional to 241,674 and 524,868 is: 1,139,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,674 : 524,868 = 524,868 : x
  2. Step 2: Convert to fraction form
    241,674/524,868 = 524,868/x
  3. Step 3: Cross multiply
    241,674x = 524,868 × 524,868
  4. Step 4: Simplify right side
    241,674x = 275,486,417,424
  5. Step 5: Solve for x
    x = 275,486,417,424/241,674
  6. Step 6: Final answer
    x = 1,139,909.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.