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Finding the Third Proportional to 334,713.80 and 735,849.28

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Solution

The third proportional to 334,713.80 and 735,849.28 is: 1,617,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,713.80 : 735,849.28 = 735,849.28 : x
  2. Step 2: Convert to fraction form
    334,713.80/735,849.28 = 735,849.28/x
  3. Step 3: Cross multiply
    334,713.80x = 735,849.28 × 735,849.28
  4. Step 4: Simplify right side
    334,713.80x = 541,474,164,716.14
  5. Step 5: Solve for x
    x = 541,474,164,716.14/334,713.80
  6. Step 6: Final answer
    x = 1,617,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.