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Finding the Third Proportional to 230,986.69 and 495,289.69

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Solution

The third proportional to 230,986.69 and 495,289.69 is: 1,062,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,986.69 : 495,289.69 = 495,289.69 : x
  2. Step 2: Convert to fraction form
    230,986.69/495,289.69 = 495,289.69/x
  3. Step 3: Cross multiply
    230,986.69x = 495,289.69 × 495,289.69
  4. Step 4: Simplify right side
    230,986.69x = 245,311,874,543.85
  5. Step 5: Solve for x
    x = 245,311,874,543.85/230,986.69
  6. Step 6: Final answer
    x = 1,062,017.37

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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.