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Finding the Third Proportional to 394,207 and 864,716

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Solution

The third proportional to 394,207 and 864,716 is: 1,896,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,207 : 864,716 = 864,716 : x
  2. Step 2: Convert to fraction form
    394,207/864,716 = 864,716/x
  3. Step 3: Cross multiply
    394,207x = 864,716 × 864,716
  4. Step 4: Simplify right side
    394,207x = 747,733,760,656
  5. Step 5: Solve for x
    x = 747,733,760,656/394,207
  6. Step 6: Final answer
    x = 1,896,804.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.