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Finding the Third Proportional to 333,716 and 691,089

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Solution

The third proportional to 333,716 and 691,089 is: 1,431,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,716 : 691,089 = 691,089 : x
  2. Step 2: Convert to fraction form
    333,716/691,089 = 691,089/x
  3. Step 3: Cross multiply
    333,716x = 691,089 × 691,089
  4. Step 4: Simplify right side
    333,716x = 477,604,005,921
  5. Step 5: Solve for x
    x = 477,604,005,921/333,716
  6. Step 6: Final answer
    x = 1,431,169.04

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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.