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Finding the Third Proportional to 380,872.13 and 819,865.13

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Solution

The third proportional to 380,872.13 and 819,865.13 is: 1,764,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,872.13 : 819,865.13 = 819,865.13 : x
  2. Step 2: Convert to fraction form
    380,872.13/819,865.13 = 819,865.13/x
  3. Step 3: Cross multiply
    380,872.13x = 819,865.13 × 819,865.13
  4. Step 4: Simplify right side
    380,872.13x = 672,178,823,191.27
  5. Step 5: Solve for x
    x = 672,178,823,191.27/380,872.13
  6. Step 6: Final answer
    x = 1,764,841.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.