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Finding the Third Proportional to 394,368 and 591,360

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Solution

The third proportional to 394,368 and 591,360 is: 886,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,368 : 591,360 = 591,360 : x
  2. Step 2: Convert to fraction form
    394,368/591,360 = 591,360/x
  3. Step 3: Cross multiply
    394,368x = 591,360 × 591,360
  4. Step 4: Simplify right side
    394,368x = 349,706,649,600
  5. Step 5: Solve for x
    x = 349,706,649,600/394,368
  6. Step 6: Final answer
    x = 886,752.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.