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Finding the Third Proportional to 230,752 and 495,976

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Solution

The third proportional to 230,752 and 495,976 is: 1,066,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,752 : 495,976 = 495,976 : x
  2. Step 2: Convert to fraction form
    230,752/495,976 = 495,976/x
  3. Step 3: Cross multiply
    230,752x = 495,976 × 495,976
  4. Step 4: Simplify right side
    230,752x = 245,992,192,576
  5. Step 5: Solve for x
    x = 245,992,192,576/230,752
  6. Step 6: Final answer
    x = 1,066,045.77

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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.