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Finding the Third Proportional to 359,961 and 777,649

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Solution

The third proportional to 359,961 and 777,649 is: 1,680,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,961 : 777,649 = 777,649 : x
  2. Step 2: Convert to fraction form
    359,961/777,649 = 777,649/x
  3. Step 3: Cross multiply
    359,961x = 777,649 × 777,649
  4. Step 4: Simplify right side
    359,961x = 604,737,967,201
  5. Step 5: Solve for x
    x = 604,737,967,201/359,961
  6. Step 6: Final answer
    x = 1,680,009.69

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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.