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Finding the Third Proportional to 408,903.19 and 838,203.19

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Solution

The third proportional to 408,903.19 and 838,203.19 is: 1,718,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,903.19 : 838,203.19 = 838,203.19 : x
  2. Step 2: Convert to fraction form
    408,903.19/838,203.19 = 838,203.19/x
  3. Step 3: Cross multiply
    408,903.19x = 838,203.19 × 838,203.19
  4. Step 4: Simplify right side
    408,903.19x = 702,584,583,535.16
  5. Step 5: Solve for x
    x = 702,584,583,535.16/408,903.19
  6. Step 6: Final answer
    x = 1,718,217.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.