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Finding the Third Proportional to 234,304 and 505,216

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Solution

The third proportional to 234,304 and 505,216 is: 1,089,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,304 : 505,216 = 505,216 : x
  2. Step 2: Convert to fraction form
    234,304/505,216 = 505,216/x
  3. Step 3: Cross multiply
    234,304x = 505,216 × 505,216
  4. Step 4: Simplify right side
    234,304x = 255,243,206,656
  5. Step 5: Solve for x
    x = 255,243,206,656/234,304
  6. Step 6: Final answer
    x = 1,089,367.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.