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Finding the Third Proportional to 336,920 and 510,832

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Solution

The third proportional to 336,920 and 510,832 is: 774,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,920 : 510,832 = 510,832 : x
  2. Step 2: Convert to fraction form
    336,920/510,832 = 510,832/x
  3. Step 3: Cross multiply
    336,920x = 510,832 × 510,832
  4. Step 4: Simplify right side
    336,920x = 260,949,332,224
  5. Step 5: Solve for x
    x = 260,949,332,224/336,920
  6. Step 6: Final answer
    x = 774,514.22

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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.