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Finding the Third Proportional to 392,068 and 850,518

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Solution

The third proportional to 392,068 and 850,518 is: 1,845,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,068 : 850,518 = 850,518 : x
  2. Step 2: Convert to fraction form
    392,068/850,518 = 850,518/x
  3. Step 3: Cross multiply
    392,068x = 850,518 × 850,518
  4. Step 4: Simplify right side
    392,068x = 723,380,868,324
  5. Step 5: Solve for x
    x = 723,380,868,324/392,068
  6. Step 6: Final answer
    x = 1,845,039.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.