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Finding the Third Proportional to 412,935.75 and 581,491.13

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Solution

The third proportional to 412,935.75 and 581,491.13 is: 818,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,935.75 : 581,491.13 = 581,491.13 : x
  2. Step 2: Convert to fraction form
    412,935.75/581,491.13 = 581,491.13/x
  3. Step 3: Cross multiply
    412,935.75x = 581,491.13 × 581,491.13
  4. Step 4: Simplify right side
    412,935.75x = 338,131,928,453.77
  5. Step 5: Solve for x
    x = 338,131,928,453.77/412,935.75
  6. Step 6: Final answer
    x = 818,848.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.