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Finding the Third Proportional to 230,099 and 492,982

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Solution

The third proportional to 230,099 and 492,982 is: 1,056,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,099 : 492,982 = 492,982 : x
  2. Step 2: Convert to fraction form
    230,099/492,982 = 492,982/x
  3. Step 3: Cross multiply
    230,099x = 492,982 × 492,982
  4. Step 4: Simplify right side
    230,099x = 243,031,252,324
  5. Step 5: Solve for x
    x = 243,031,252,324/230,099
  6. Step 6: Final answer
    x = 1,056,202.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.