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Finding the Third Proportional to 229,085 and 492,073

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Solution

The third proportional to 229,085 and 492,073 is: 1,056,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,085 : 492,073 = 492,073 : x
  2. Step 2: Convert to fraction form
    229,085/492,073 = 492,073/x
  3. Step 3: Cross multiply
    229,085x = 492,073 × 492,073
  4. Step 4: Simplify right side
    229,085x = 242,135,837,329
  5. Step 5: Solve for x
    x = 242,135,837,329/229,085
  6. Step 6: Final answer
    x = 1,056,969.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.