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Finding the Third Proportional to 227,760.50 and 498,424

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Solution

The third proportional to 227,760.50 and 498,424 is: 1,090,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,760.50 : 498,424 = 498,424 : x
  2. Step 2: Convert to fraction form
    227,760.50/498,424 = 498,424/x
  3. Step 3: Cross multiply
    227,760.50x = 498,424 × 498,424
  4. Step 4: Simplify right side
    227,760.50x = 248,426,483,776
  5. Step 5: Solve for x
    x = 248,426,483,776/227,760.50
  6. Step 6: Final answer
    x = 1,090,735.59

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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.