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Finding the Third Proportional to 588,381 and 909,198

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Solution

The third proportional to 588,381 and 909,198 is: 1,404,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,381 : 909,198 = 909,198 : x
  2. Step 2: Convert to fraction form
    588,381/909,198 = 909,198/x
  3. Step 3: Cross multiply
    588,381x = 909,198 × 909,198
  4. Step 4: Simplify right side
    588,381x = 826,641,003,204
  5. Step 5: Solve for x
    x = 826,641,003,204/588,381
  6. Step 6: Final answer
    x = 1,404,941.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.