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Finding the Third Proportional to 373,833.35 and 820,042.10

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Solution

The third proportional to 373,833.35 and 820,042.10 is: 1,798,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,833.35 : 820,042.10 = 820,042.10 : x
  2. Step 2: Convert to fraction form
    373,833.35/820,042.10 = 820,042.10/x
  3. Step 3: Cross multiply
    373,833.35x = 820,042.10 × 820,042.10
  4. Step 4: Simplify right side
    373,833.35x = 672,469,048,335.04
  5. Step 5: Solve for x
    x = 672,469,048,335.04/373,833.35
  6. Step 6: Final answer
    x = 1,798,847.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.