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Finding the Third Proportional to 348,864 and 510,832

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Solution

The third proportional to 348,864 and 510,832 is: 747,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,864 : 510,832 = 510,832 : x
  2. Step 2: Convert to fraction form
    348,864/510,832 = 510,832/x
  3. Step 3: Cross multiply
    348,864x = 510,832 × 510,832
  4. Step 4: Simplify right side
    348,864x = 260,949,332,224
  5. Step 5: Solve for x
    x = 260,949,332,224/348,864
  6. Step 6: Final answer
    x = 747,997.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.