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Finding the Third Proportional to 352,626.75 and 537,202.13

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Solution

The third proportional to 352,626.75 and 537,202.13 is: 818,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,626.75 : 537,202.13 = 537,202.13 : x
  2. Step 2: Convert to fraction form
    352,626.75/537,202.13 = 537,202.13/x
  3. Step 3: Cross multiply
    352,626.75x = 537,202.13 × 537,202.13
  4. Step 4: Simplify right side
    352,626.75x = 288,586,123,104.52
  5. Step 5: Solve for x
    x = 288,586,123,104.52/352,626.75
  6. Step 6: Final answer
    x = 818,389.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.