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Finding the Third Proportional to 392,422 and 591,509

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Solution

The third proportional to 392,422 and 591,509 is: 891,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,422 : 591,509 = 591,509 : x
  2. Step 2: Convert to fraction form
    392,422/591,509 = 591,509/x
  3. Step 3: Cross multiply
    392,422x = 591,509 × 591,509
  4. Step 4: Simplify right side
    392,422x = 349,882,897,081
  5. Step 5: Solve for x
    x = 349,882,897,081/392,422
  6. Step 6: Final answer
    x = 891,598.58

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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.