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Finding the Third Proportional to 353,745 and 543,624.75

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Solution

The third proportional to 353,745 and 543,624.75 is: 835,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,745 : 543,624.75 = 543,624.75 : x
  2. Step 2: Convert to fraction form
    353,745/543,624.75 = 543,624.75/x
  3. Step 3: Cross multiply
    353,745x = 543,624.75 × 543,624.75
  4. Step 4: Simplify right side
    353,745x = 295,527,868,812.56
  5. Step 5: Solve for x
    x = 295,527,868,812.56/353,745
  6. Step 6: Final answer
    x = 835,426.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.