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Finding the Third Proportional to 360,792 and 512,832

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Solution

The third proportional to 360,792 and 512,832 is: 728,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,792 : 512,832 = 512,832 : x
  2. Step 2: Convert to fraction form
    360,792/512,832 = 512,832/x
  3. Step 3: Cross multiply
    360,792x = 512,832 × 512,832
  4. Step 4: Simplify right side
    360,792x = 262,996,660,224
  5. Step 5: Solve for x
    x = 262,996,660,224/360,792
  6. Step 6: Final answer
    x = 728,942.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.