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Finding the Third Proportional to 227,847.94 and 498,605.63

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Solution

The third proportional to 227,847.94 and 498,605.63 is: 1,091,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,847.94 : 498,605.63 = 498,605.63 : x
  2. Step 2: Convert to fraction form
    227,847.94/498,605.63 = 498,605.63/x
  3. Step 3: Cross multiply
    227,847.94x = 498,605.63 × 498,605.63
  4. Step 4: Simplify right side
    227,847.94x = 248,607,569,281.64
  5. Step 5: Solve for x
    x = 248,607,569,281.64/227,847.94
  6. Step 6: Final answer
    x = 1,091,111.78

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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.