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Finding the Third Proportional to 643,226.06 and 857,517.89

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Solution

The third proportional to 643,226.06 and 857,517.89 is: 1,143,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,226.06 : 857,517.89 = 857,517.89 : x
  2. Step 2: Convert to fraction form
    643,226.06/857,517.89 = 857,517.89/x
  3. Step 3: Cross multiply
    643,226.06x = 857,517.89 × 857,517.89
  4. Step 4: Simplify right side
    643,226.06x = 735,336,932,741.95
  5. Step 5: Solve for x
    x = 735,336,932,741.95/643,226.06
  6. Step 6: Final answer
    x = 1,143,201.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.