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Finding the Third Proportional to 230,007 and 495,006

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Solution

The third proportional to 230,007 and 495,006 is: 1,065,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,007 : 495,006 = 495,006 : x
  2. Step 2: Convert to fraction form
    230,007/495,006 = 495,006/x
  3. Step 3: Cross multiply
    230,007x = 495,006 × 495,006
  4. Step 4: Simplify right side
    230,007x = 245,030,940,036
  5. Step 5: Solve for x
    x = 245,030,940,036/230,007
  6. Step 6: Final answer
    x = 1,065,319.49

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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.