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Finding the Third Proportional to 431,193 and 937,888.50

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Solution

The third proportional to 431,193 and 937,888.50 is: 2,040,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,193 : 937,888.50 = 937,888.50 : x
  2. Step 2: Convert to fraction form
    431,193/937,888.50 = 937,888.50/x
  3. Step 3: Cross multiply
    431,193x = 937,888.50 × 937,888.50
  4. Step 4: Simplify right side
    431,193x = 879,634,838,432.25
  5. Step 5: Solve for x
    x = 879,634,838,432.25/431,193
  6. Step 6: Final answer
    x = 2,040,002.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.