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Finding the Third Proportional to 394,164 and 864,632

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Solution

The third proportional to 394,164 and 864,632 is: 1,896,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,164 : 864,632 = 864,632 : x
  2. Step 2: Convert to fraction form
    394,164/864,632 = 864,632/x
  3. Step 3: Cross multiply
    394,164x = 864,632 × 864,632
  4. Step 4: Simplify right side
    394,164x = 747,588,495,424
  5. Step 5: Solve for x
    x = 747,588,495,424/394,164
  6. Step 6: Final answer
    x = 1,896,643.26

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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.