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Finding the Third Proportional to 398,120.06 and 866,221.59

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Solution

The third proportional to 398,120.06 and 866,221.59 is: 1,884,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,120.06 : 866,221.59 = 866,221.59 : x
  2. Step 2: Convert to fraction form
    398,120.06/866,221.59 = 866,221.59/x
  3. Step 3: Cross multiply
    398,120.06x = 866,221.59 × 866,221.59
  4. Step 4: Simplify right side
    398,120.06x = 750,339,849,478.79
  5. Step 5: Solve for x
    x = 750,339,849,478.79/398,120.06
  6. Step 6: Final answer
    x = 1,884,707.45

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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.