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Finding the Third Proportional to 250,321 and 387,632

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Solution

The third proportional to 250,321 and 387,632 is: 600,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,321 : 387,632 = 387,632 : x
  2. Step 2: Convert to fraction form
    250,321/387,632 = 387,632/x
  3. Step 3: Cross multiply
    250,321x = 387,632 × 387,632
  4. Step 4: Simplify right side
    250,321x = 150,258,567,424
  5. Step 5: Solve for x
    x = 150,258,567,424/250,321
  6. Step 6: Final answer
    x = 600,263.53

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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.