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Finding the Third Proportional to 227,214 and 492,045

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Solution

The third proportional to 227,214 and 492,045 is: 1,065,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,214 : 492,045 = 492,045 : x
  2. Step 2: Convert to fraction form
    227,214/492,045 = 492,045/x
  3. Step 3: Cross multiply
    227,214x = 492,045 × 492,045
  4. Step 4: Simplify right side
    227,214x = 242,108,282,025
  5. Step 5: Solve for x
    x = 242,108,282,025/227,214
  6. Step 6: Final answer
    x = 1,065,551.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.