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Finding the Third Proportional to 229,662 and 487,120.50

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Solution

The third proportional to 229,662 and 487,120.50 is: 1,033,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,662 : 487,120.50 = 487,120.50 : x
  2. Step 2: Convert to fraction form
    229,662/487,120.50 = 487,120.50/x
  3. Step 3: Cross multiply
    229,662x = 487,120.50 × 487,120.50
  4. Step 4: Simplify right side
    229,662x = 237,286,381,520.25
  5. Step 5: Solve for x
    x = 237,286,381,520.25/229,662
  6. Step 6: Final answer
    x = 1,033,198.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.