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Finding the Third Proportional to 231,243 and 501,795

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Solution

The third proportional to 231,243 and 501,795 is: 1,088,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,243 : 501,795 = 501,795 : x
  2. Step 2: Convert to fraction form
    231,243/501,795 = 501,795/x
  3. Step 3: Cross multiply
    231,243x = 501,795 × 501,795
  4. Step 4: Simplify right side
    231,243x = 251,798,222,025
  5. Step 5: Solve for x
    x = 251,798,222,025/231,243
  6. Step 6: Final answer
    x = 1,088,890.14

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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.