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Finding the Third Proportional to 392,802.75 and 600,635.25

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Solution

The third proportional to 392,802.75 and 600,635.25 is: 918,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,802.75 : 600,635.25 = 600,635.25 : x
  2. Step 2: Convert to fraction form
    392,802.75/600,635.25 = 600,635.25/x
  3. Step 3: Cross multiply
    392,802.75x = 600,635.25 × 600,635.25
  4. Step 4: Simplify right side
    392,802.75x = 360,762,703,542.56
  5. Step 5: Solve for x
    x = 360,762,703,542.56/392,802.75
  6. Step 6: Final answer
    x = 918,432.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.