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Finding the Third Proportional to 381,053.81 and 584,756.72

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Solution

The third proportional to 381,053.81 and 584,756.72 is: 897,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,053.81 : 584,756.72 = 584,756.72 : x
  2. Step 2: Convert to fraction form
    381,053.81/584,756.72 = 584,756.72/x
  3. Step 3: Cross multiply
    381,053.81x = 584,756.72 × 584,756.72
  4. Step 4: Simplify right side
    381,053.81x = 341,940,420,123.27
  5. Step 5: Solve for x
    x = 341,940,420,123.27/381,053.81
  6. Step 6: Final answer
    x = 897,354.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.