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Finding the Third Proportional to 359,961.75 and 777,651

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Solution

The third proportional to 359,961.75 and 777,651 is: 1,680,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,961.75 : 777,651 = 777,651 : x
  2. Step 2: Convert to fraction form
    359,961.75/777,651 = 777,651/x
  3. Step 3: Cross multiply
    359,961.75x = 777,651 × 777,651
  4. Step 4: Simplify right side
    359,961.75x = 604,741,077,801
  5. Step 5: Solve for x
    x = 604,741,077,801/359,961.75
  6. Step 6: Final answer
    x = 1,680,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.