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Finding the Third Proportional to 229,276 and 505,048

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Solution

The third proportional to 229,276 and 505,048 is: 1,112,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,276 : 505,048 = 505,048 : x
  2. Step 2: Convert to fraction form
    229,276/505,048 = 505,048/x
  3. Step 3: Cross multiply
    229,276x = 505,048 × 505,048
  4. Step 4: Simplify right side
    229,276x = 255,073,482,304
  5. Step 5: Solve for x
    x = 255,073,482,304/229,276
  6. Step 6: Final answer
    x = 1,112,517.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.