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Finding the Third Proportional to 229,035 and 491,928

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Solution

The third proportional to 229,035 and 491,928 is: 1,056,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,035 : 491,928 = 491,928 : x
  2. Step 2: Convert to fraction form
    229,035/491,928 = 491,928/x
  3. Step 3: Cross multiply
    229,035x = 491,928 × 491,928
  4. Step 4: Simplify right side
    229,035x = 241,993,157,184
  5. Step 5: Solve for x
    x = 241,993,157,184/229,035
  6. Step 6: Final answer
    x = 1,056,577.19

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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.