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Finding the Third Proportional to 335,814.19 and 691,338.38

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Solution

The third proportional to 335,814.19 and 691,338.38 is: 1,423,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,814.19 : 691,338.38 = 691,338.38 : x
  2. Step 2: Convert to fraction form
    335,814.19/691,338.38 = 691,338.38/x
  3. Step 3: Cross multiply
    335,814.19x = 691,338.38 × 691,338.38
  4. Step 4: Simplify right side
    335,814.19x = 477,948,748,747.64
  5. Step 5: Solve for x
    x = 477,948,748,747.64/335,814.19
  6. Step 6: Final answer
    x = 1,423,253.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.