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Finding the Third Proportional to 354,847.50 and 756,146.81

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Solution

The third proportional to 354,847.50 and 756,146.81 is: 1,611,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,847.50 : 756,146.81 = 756,146.81 : x
  2. Step 2: Convert to fraction form
    354,847.50/756,146.81 = 756,146.81/x
  3. Step 3: Cross multiply
    354,847.50x = 756,146.81 × 756,146.81
  4. Step 4: Simplify right side
    354,847.50x = 571,758,002,053.91
  5. Step 5: Solve for x
    x = 571,758,002,053.91/354,847.50
  6. Step 6: Final answer
    x = 1,611,278.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.