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Finding the Third Proportional to 412,959 and 605,792

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Solution

The third proportional to 412,959 and 605,792 is: 888,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,959 : 605,792 = 605,792 : x
  2. Step 2: Convert to fraction form
    412,959/605,792 = 605,792/x
  3. Step 3: Cross multiply
    412,959x = 605,792 × 605,792
  4. Step 4: Simplify right side
    412,959x = 366,983,947,264
  5. Step 5: Solve for x
    x = 366,983,947,264/412,959
  6. Step 6: Final answer
    x = 888,669.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.