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Finding the Third Proportional to 227,210 and 492,035

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Solution

The third proportional to 227,210 and 492,035 is: 1,065,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,210 : 492,035 = 492,035 : x
  2. Step 2: Convert to fraction form
    227,210/492,035 = 492,035/x
  3. Step 3: Cross multiply
    227,210x = 492,035 × 492,035
  4. Step 4: Simplify right side
    227,210x = 242,098,441,225
  5. Step 5: Solve for x
    x = 242,098,441,225/227,210
  6. Step 6: Final answer
    x = 1,065,527.23

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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.