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Finding the Third Proportional to 241,494 and 382,950

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Solution

The third proportional to 241,494 and 382,950 is: 607,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,494 : 382,950 = 382,950 : x
  2. Step 2: Convert to fraction form
    241,494/382,950 = 382,950/x
  3. Step 3: Cross multiply
    241,494x = 382,950 × 382,950
  4. Step 4: Simplify right side
    241,494x = 146,650,702,500
  5. Step 5: Solve for x
    x = 146,650,702,500/241,494
  6. Step 6: Final answer
    x = 607,264.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.