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Finding the Third Proportional to 359,779 and 791,998

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Solution

The third proportional to 359,779 and 791,998 is: 1,743,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,779 : 791,998 = 791,998 : x
  2. Step 2: Convert to fraction form
    359,779/791,998 = 791,998/x
  3. Step 3: Cross multiply
    359,779x = 791,998 × 791,998
  4. Step 4: Simplify right side
    359,779x = 627,260,832,004
  5. Step 5: Solve for x
    x = 627,260,832,004/359,779
  6. Step 6: Final answer
    x = 1,743,461.49

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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.