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Finding the Third Proportional to 400,587 and 812,238

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Solution

The third proportional to 400,587 and 812,238 is: 1,646,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,587 : 812,238 = 812,238 : x
  2. Step 2: Convert to fraction form
    400,587/812,238 = 812,238/x
  3. Step 3: Cross multiply
    400,587x = 812,238 × 812,238
  4. Step 4: Simplify right side
    400,587x = 659,730,568,644
  5. Step 5: Solve for x
    x = 659,730,568,644/400,587
  6. Step 6: Final answer
    x = 1,646,909.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.