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Finding the Third Proportional to 398,185 and 866,353

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Solution

The third proportional to 398,185 and 866,353 is: 1,884,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,185 : 866,353 = 866,353 : x
  2. Step 2: Convert to fraction form
    398,185/866,353 = 866,353/x
  3. Step 3: Cross multiply
    398,185x = 866,353 × 866,353
  4. Step 4: Simplify right side
    398,185x = 750,567,520,609
  5. Step 5: Solve for x
    x = 750,567,520,609/398,185
  6. Step 6: Final answer
    x = 1,884,971.86

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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.