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Finding the Third Proportional to 400,514 and 812,080

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Solution

The third proportional to 400,514 and 812,080 is: 1,646,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,514 : 812,080 = 812,080 : x
  2. Step 2: Convert to fraction form
    400,514/812,080 = 812,080/x
  3. Step 3: Cross multiply
    400,514x = 812,080 × 812,080
  4. Step 4: Simplify right side
    400,514x = 659,473,926,400
  5. Step 5: Solve for x
    x = 659,473,926,400/400,514
  6. Step 6: Final answer
    x = 1,646,568.97

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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.