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Finding the Third Proportional to 374,125.50 and 905,721.75

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Solution

The third proportional to 374,125.50 and 905,721.75 is: 2,192,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,125.50 : 905,721.75 = 905,721.75 : x
  2. Step 2: Convert to fraction form
    374,125.50/905,721.75 = 905,721.75/x
  3. Step 3: Cross multiply
    374,125.50x = 905,721.75 × 905,721.75
  4. Step 4: Simplify right side
    374,125.50x = 820,331,888,423.06
  5. Step 5: Solve for x
    x = 820,331,888,423.06/374,125.50
  6. Step 6: Final answer
    x = 2,192,665.00

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.