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Finding the Third Proportional to 359,775 and 791,991

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Solution

The third proportional to 359,775 and 791,991 is: 1,743,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,775 : 791,991 = 791,991 : x
  2. Step 2: Convert to fraction form
    359,775/791,991 = 791,991/x
  3. Step 3: Cross multiply
    359,775x = 791,991 × 791,991
  4. Step 4: Simplify right side
    359,775x = 627,249,744,081
  5. Step 5: Solve for x
    x = 627,249,744,081/359,775
  6. Step 6: Final answer
    x = 1,743,450.06

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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.