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Finding the Third Proportional to 227,784 and 500,205

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Solution

The third proportional to 227,784 and 500,205 is: 1,098,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,784 : 500,205 = 500,205 : x
  2. Step 2: Convert to fraction form
    227,784/500,205 = 500,205/x
  3. Step 3: Cross multiply
    227,784x = 500,205 × 500,205
  4. Step 4: Simplify right side
    227,784x = 250,205,042,025
  5. Step 5: Solve for x
    x = 250,205,042,025/227,784
  6. Step 6: Final answer
    x = 1,098,431.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.