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Finding the Third Proportional to 250,596 and 387,858

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Solution

The third proportional to 250,596 and 387,858 is: 600,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,596 : 387,858 = 387,858 : x
  2. Step 2: Convert to fraction form
    250,596/387,858 = 387,858/x
  3. Step 3: Cross multiply
    250,596x = 387,858 × 387,858
  4. Step 4: Simplify right side
    250,596x = 150,433,828,164
  5. Step 5: Solve for x
    x = 150,433,828,164/250,596
  6. Step 6: Final answer
    x = 600,304.19

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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.