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Finding the Third Proportional to 231,066 and 495,324

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Solution

The third proportional to 231,066 and 495,324 is: 1,061,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,066 : 495,324 = 495,324 : x
  2. Step 2: Convert to fraction form
    231,066/495,324 = 495,324/x
  3. Step 3: Cross multiply
    231,066x = 495,324 × 495,324
  4. Step 4: Simplify right side
    231,066x = 245,345,864,976
  5. Step 5: Solve for x
    x = 245,345,864,976/231,066
  6. Step 6: Final answer
    x = 1,061,799.94

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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.