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Finding the Third Proportional to 347,422.50 and 519,087

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Solution

The third proportional to 347,422.50 and 519,087 is: 775,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,422.50 : 519,087 = 519,087 : x
  2. Step 2: Convert to fraction form
    347,422.50/519,087 = 519,087/x
  3. Step 3: Cross multiply
    347,422.50x = 519,087 × 519,087
  4. Step 4: Simplify right side
    347,422.50x = 269,451,313,569
  5. Step 5: Solve for x
    x = 269,451,313,569/347,422.50
  6. Step 6: Final answer
    x = 775,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.