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Finding the Third Proportional to 333,720 and 691,098.75

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Solution

The third proportional to 333,720 and 691,098.75 is: 1,431,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,720 : 691,098.75 = 691,098.75 : x
  2. Step 2: Convert to fraction form
    333,720/691,098.75 = 691,098.75/x
  3. Step 3: Cross multiply
    333,720x = 691,098.75 × 691,098.75
  4. Step 4: Simplify right side
    333,720x = 477,617,482,251.56
  5. Step 5: Solve for x
    x = 477,617,482,251.56/333,720
  6. Step 6: Final answer
    x = 1,431,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.