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Finding the Third Proportional to 227,232 and 492,073

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Solution

The third proportional to 227,232 and 492,073 is: 1,065,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,232 : 492,073 = 492,073 : x
  2. Step 2: Convert to fraction form
    227,232/492,073 = 492,073/x
  3. Step 3: Cross multiply
    227,232x = 492,073 × 492,073
  4. Step 4: Simplify right side
    227,232x = 242,135,837,329
  5. Step 5: Solve for x
    x = 242,135,837,329/227,232
  6. Step 6: Final answer
    x = 1,065,588.64

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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.