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Finding the Third Proportional to 360,072 and 787,932

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Solution

The third proportional to 360,072 and 787,932 is: 1,724,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,072 : 787,932 = 787,932 : x
  2. Step 2: Convert to fraction form
    360,072/787,932 = 787,932/x
  3. Step 3: Cross multiply
    360,072x = 787,932 × 787,932
  4. Step 4: Simplify right side
    360,072x = 620,836,836,624
  5. Step 5: Solve for x
    x = 620,836,836,624/360,072
  6. Step 6: Final answer
    x = 1,724,201.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.