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Finding the Third Proportional to 227,194.50 and 498,669

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Solution

The third proportional to 227,194.50 and 498,669 is: 1,094,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,194.50 : 498,669 = 498,669 : x
  2. Step 2: Convert to fraction form
    227,194.50/498,669 = 498,669/x
  3. Step 3: Cross multiply
    227,194.50x = 498,669 × 498,669
  4. Step 4: Simplify right side
    227,194.50x = 248,670,771,561
  5. Step 5: Solve for x
    x = 248,670,771,561/227,194.50
  6. Step 6: Final answer
    x = 1,094,528.13

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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.