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Finding the Third Proportional to 392,944 and 591,708

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Solution

The third proportional to 392,944 and 591,708 is: 891,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,944 : 591,708 = 591,708 : x
  2. Step 2: Convert to fraction form
    392,944/591,708 = 591,708/x
  3. Step 3: Cross multiply
    392,944x = 591,708 × 591,708
  4. Step 4: Simplify right side
    392,944x = 350,118,357,264
  5. Step 5: Solve for x
    x = 350,118,357,264/392,944
  6. Step 6: Final answer
    x = 891,013.37

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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.