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Finding the Third Proportional to 227,223 and 492,062

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Solution

The third proportional to 227,223 and 492,062 is: 1,065,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,223 : 492,062 = 492,062 : x
  2. Step 2: Convert to fraction form
    227,223/492,062 = 492,062/x
  3. Step 3: Cross multiply
    227,223x = 492,062 × 492,062
  4. Step 4: Simplify right side
    227,223x = 242,125,011,844
  5. Step 5: Solve for x
    x = 242,125,011,844/227,223
  6. Step 6: Final answer
    x = 1,065,583.20

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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.