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Finding the Third Proportional to 250,986 and 382,361

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Solution

The third proportional to 250,986 and 382,361 is: 582,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,986 : 382,361 = 382,361 : x
  2. Step 2: Convert to fraction form
    250,986/382,361 = 382,361/x
  3. Step 3: Cross multiply
    250,986x = 382,361 × 382,361
  4. Step 4: Simplify right side
    250,986x = 146,199,934,321
  5. Step 5: Solve for x
    x = 146,199,934,321/250,986
  6. Step 6: Final answer
    x = 582,502.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.