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Finding the Third Proportional to 373,834.13 and 820,043.63

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Solution

The third proportional to 373,834.13 and 820,043.63 is: 1,798,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,834.13 : 820,043.63 = 820,043.63 : x
  2. Step 2: Convert to fraction form
    373,834.13/820,043.63 = 820,043.63/x
  3. Step 3: Cross multiply
    373,834.13x = 820,043.63 × 820,043.63
  4. Step 4: Simplify right side
    373,834.13x = 672,471,546,903.14
  5. Step 5: Solve for x
    x = 672,471,546,903.14/373,834.13
  6. Step 6: Final answer
    x = 1,798,850.08

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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.