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Finding the Third Proportional to 398,232 and 866,456

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Solution

The third proportional to 398,232 and 866,456 is: 1,885,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,232 : 866,456 = 866,456 : x
  2. Step 2: Convert to fraction form
    398,232/866,456 = 866,456/x
  3. Step 3: Cross multiply
    398,232x = 866,456 × 866,456
  4. Step 4: Simplify right side
    398,232x = 750,745,999,936
  5. Step 5: Solve for x
    x = 750,745,999,936/398,232
  6. Step 6: Final answer
    x = 1,885,197.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.