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Finding the Third Proportional to 392,976 and 591,752.25

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Solution

The third proportional to 392,976 and 591,752.25 is: 891,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,976 : 591,752.25 = 591,752.25 : x
  2. Step 2: Convert to fraction form
    392,976/591,752.25 = 591,752.25/x
  3. Step 3: Cross multiply
    392,976x = 591,752.25 × 591,752.25
  4. Step 4: Simplify right side
    392,976x = 350,170,725,380.06
  5. Step 5: Solve for x
    x = 350,170,725,380.06/392,976
  6. Step 6: Final answer
    x = 891,074.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.