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Finding the Third Proportional to 392,920 and 600,656

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Solution

The third proportional to 392,920 and 600,656 is: 918,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,920 : 600,656 = 600,656 : x
  2. Step 2: Convert to fraction form
    392,920/600,656 = 600,656/x
  3. Step 3: Cross multiply
    392,920x = 600,656 × 600,656
  4. Step 4: Simplify right side
    392,920x = 360,787,630,336
  5. Step 5: Solve for x
    x = 360,787,630,336/392,920
  6. Step 6: Final answer
    x = 918,221.60

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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.