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Finding the Third Proportional to 360,037 and 777,836

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Solution

The third proportional to 360,037 and 777,836 is: 1,680,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,037 : 777,836 = 777,836 : x
  2. Step 2: Convert to fraction form
    360,037/777,836 = 777,836/x
  3. Step 3: Cross multiply
    360,037x = 777,836 × 777,836
  4. Step 4: Simplify right side
    360,037x = 605,028,842,896
  5. Step 5: Solve for x
    x = 605,028,842,896/360,037
  6. Step 6: Final answer
    x = 1,680,462.96

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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.