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Finding the Third Proportional to 334,424 and 518,036

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Solution

The third proportional to 334,424 and 518,036 is: 802,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,424 : 518,036 = 518,036 : x
  2. Step 2: Convert to fraction form
    334,424/518,036 = 518,036/x
  3. Step 3: Cross multiply
    334,424x = 518,036 × 518,036
  4. Step 4: Simplify right side
    334,424x = 268,361,297,296
  5. Step 5: Solve for x
    x = 268,361,297,296/334,424
  6. Step 6: Final answer
    x = 802,458.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.