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Finding the Third Proportional to 360,002 and 777,757

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Solution

The third proportional to 360,002 and 777,757 is: 1,680,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,002 : 777,757 = 777,757 : x
  2. Step 2: Convert to fraction form
    360,002/777,757 = 777,757/x
  3. Step 3: Cross multiply
    360,002x = 777,757 × 777,757
  4. Step 4: Simplify right side
    360,002x = 604,905,951,049
  5. Step 5: Solve for x
    x = 604,905,951,049/360,002
  6. Step 6: Final answer
    x = 1,680,284.97

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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.