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Finding the Third Proportional to 643,282 and 857,593

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Solution

The third proportional to 643,282 and 857,593 is: 1,143,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,282 : 857,593 = 857,593 : x
  2. Step 2: Convert to fraction form
    643,282/857,593 = 857,593/x
  3. Step 3: Cross multiply
    643,282x = 857,593 × 857,593
  4. Step 4: Simplify right side
    643,282x = 735,465,753,649
  5. Step 5: Solve for x
    x = 735,465,753,649/643,282
  6. Step 6: Final answer
    x = 1,143,302.24

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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.