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Finding the Third Proportional to 442,624.50 and 669,206.81

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Solution

The third proportional to 442,624.50 and 669,206.81 is: 1,011,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,624.50 : 669,206.81 = 669,206.81 : x
  2. Step 2: Convert to fraction form
    442,624.50/669,206.81 = 669,206.81/x
  3. Step 3: Cross multiply
    442,624.50x = 669,206.81 × 669,206.81
  4. Step 4: Simplify right side
    442,624.50x = 447,837,757,896.41
  5. Step 5: Solve for x
    x = 447,837,757,896.41/442,624.50
  6. Step 6: Final answer
    x = 1,011,778.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.