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Finding the Third Proportional to 250,782 and 388,749

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Solution

The third proportional to 250,782 and 388,749 is: 602,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,782 : 388,749 = 388,749 : x
  2. Step 2: Convert to fraction form
    250,782/388,749 = 388,749/x
  3. Step 3: Cross multiply
    250,782x = 388,749 × 388,749
  4. Step 4: Simplify right side
    250,782x = 151,125,785,001
  5. Step 5: Solve for x
    x = 151,125,785,001/250,782
  6. Step 6: Final answer
    x = 602,618.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.