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Finding the Third Proportional to 229,861.50 and 487,366

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Solution

The third proportional to 229,861.50 and 487,366 is: 1,033,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,861.50 : 487,366 = 487,366 : x
  2. Step 2: Convert to fraction form
    229,861.50/487,366 = 487,366/x
  3. Step 3: Cross multiply
    229,861.50x = 487,366 × 487,366
  4. Step 4: Simplify right side
    229,861.50x = 237,525,617,956
  5. Step 5: Solve for x
    x = 237,525,617,956/229,861.50
  6. Step 6: Final answer
    x = 1,033,342.33

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Why These Related Problems?

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