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Finding the Third Proportional to 227,217 and 492,051

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Solution

The third proportional to 227,217 and 492,051 is: 1,065,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,217 : 492,051 = 492,051 : x
  2. Step 2: Convert to fraction form
    227,217/492,051 = 492,051/x
  3. Step 3: Cross multiply
    227,217x = 492,051 × 492,051
  4. Step 4: Simplify right side
    227,217x = 242,114,186,601
  5. Step 5: Solve for x
    x = 242,114,186,601/227,217
  6. Step 6: Final answer
    x = 1,065,563.70

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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.