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Finding the Third Proportional to 503,743.50 and 698,193

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Solution

The third proportional to 503,743.50 and 698,193 is: 967,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,743.50 : 698,193 = 698,193 : x
  2. Step 2: Convert to fraction form
    503,743.50/698,193 = 698,193/x
  3. Step 3: Cross multiply
    503,743.50x = 698,193 × 698,193
  4. Step 4: Simplify right side
    503,743.50x = 487,473,465,249
  5. Step 5: Solve for x
    x = 487,473,465,249/503,743.50
  6. Step 6: Final answer
    x = 967,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.