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Finding the Third Proportional to 398,214 and 866,411

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Solution

The third proportional to 398,214 and 866,411 is: 1,885,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,214 : 866,411 = 866,411 : x
  2. Step 2: Convert to fraction form
    398,214/866,411 = 866,411/x
  3. Step 3: Cross multiply
    398,214x = 866,411 × 866,411
  4. Step 4: Simplify right side
    398,214x = 750,668,020,921
  5. Step 5: Solve for x
    x = 750,668,020,921/398,214
  6. Step 6: Final answer
    x = 1,885,086.97

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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.