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Finding the Third Proportional to 395,066 and 932,224

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Solution

The third proportional to 395,066 and 932,224 is: 2,199,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,066 : 932,224 = 932,224 : x
  2. Step 2: Convert to fraction form
    395,066/932,224 = 932,224/x
  3. Step 3: Cross multiply
    395,066x = 932,224 × 932,224
  4. Step 4: Simplify right side
    395,066x = 869,041,586,176
  5. Step 5: Solve for x
    x = 869,041,586,176/395,066
  6. Step 6: Final answer
    x = 2,199,737.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.