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Finding the Third Proportional to 398,163 and 866,301

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Solution

The third proportional to 398,163 and 866,301 is: 1,884,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,163 : 866,301 = 866,301 : x
  2. Step 2: Convert to fraction form
    398,163/866,301 = 866,301/x
  3. Step 3: Cross multiply
    398,163x = 866,301 × 866,301
  4. Step 4: Simplify right side
    398,163x = 750,477,422,601
  5. Step 5: Solve for x
    x = 750,477,422,601/398,163
  6. Step 6: Final answer
    x = 1,884,849.73

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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.