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Finding the Third Proportional to 244,465.59 and 378,209.67

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Solution

The third proportional to 244,465.59 and 378,209.67 is: 585,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,465.59 : 378,209.67 = 378,209.67 : x
  2. Step 2: Convert to fraction form
    244,465.59/378,209.67 = 378,209.67/x
  3. Step 3: Cross multiply
    244,465.59x = 378,209.67 × 378,209.67
  4. Step 4: Simplify right side
    244,465.59x = 143,042,555,899.80
  5. Step 5: Solve for x
    x = 143,042,555,899.80/244,465.59
  6. Step 6: Final answer
    x = 585,123.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.