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Finding the Third Proportional to 222,838.50 and 487,783.50

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Solution

The third proportional to 222,838.50 and 487,783.50 is: 1,067,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,838.50 : 487,783.50 = 487,783.50 : x
  2. Step 2: Convert to fraction form
    222,838.50/487,783.50 = 487,783.50/x
  3. Step 3: Cross multiply
    222,838.50x = 487,783.50 × 487,783.50
  4. Step 4: Simplify right side
    222,838.50x = 237,932,742,872.25
  5. Step 5: Solve for x
    x = 237,932,742,872.25/222,838.50
  6. Step 6: Final answer
    x = 1,067,736.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.