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Finding the Third Proportional to 398,128 and 866,236.50

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Solution

The third proportional to 398,128 and 866,236.50 is: 1,884,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,128 : 866,236.50 = 866,236.50 : x
  2. Step 2: Convert to fraction form
    398,128/866,236.50 = 866,236.50/x
  3. Step 3: Cross multiply
    398,128x = 866,236.50 × 866,236.50
  4. Step 4: Simplify right side
    398,128x = 750,365,673,932.25
  5. Step 5: Solve for x
    x = 750,365,673,932.25/398,128
  6. Step 6: Final answer
    x = 1,884,734.74

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