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Finding the Third Proportional to 757,069.50 and 1,163,667.94

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Solution

The third proportional to 757,069.50 and 1,163,667.94 is: 1,788,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,069.50 : 1,163,667.94 = 1,163,667.94 : x
  2. Step 2: Convert to fraction form
    757,069.50/1,163,667.94 = 1,163,667.94/x
  3. Step 3: Cross multiply
    757,069.50x = 1,163,667.94 × 1,163,667.94
  4. Step 4: Simplify right side
    757,069.50x = 1,354,123,068,765.50
  5. Step 5: Solve for x
    x = 1,354,123,068,765.50/757,069.50
  6. Step 6: Final answer
    x = 1,788,637.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.