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Finding the Third Proportional to 392,640 and 604,314

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Solution

The third proportional to 392,640 and 604,314 is: 930,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,640 : 604,314 = 604,314 : x
  2. Step 2: Convert to fraction form
    392,640/604,314 = 604,314/x
  3. Step 3: Cross multiply
    392,640x = 604,314 × 604,314
  4. Step 4: Simplify right side
    392,640x = 365,195,410,596
  5. Step 5: Solve for x
    x = 365,195,410,596/392,640
  6. Step 6: Final answer
    x = 930,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.