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Finding the Third Proportional to 230,946.19 and 495,208.69

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Solution

The third proportional to 230,946.19 and 495,208.69 is: 1,061,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,946.19 : 495,208.69 = 495,208.69 : x
  2. Step 2: Convert to fraction form
    230,946.19/495,208.69 = 495,208.69/x
  3. Step 3: Cross multiply
    230,946.19x = 495,208.69 × 495,208.69
  4. Step 4: Simplify right side
    230,946.19x = 245,231,644,175.47
  5. Step 5: Solve for x
    x = 245,231,644,175.47/230,946.19
  6. Step 6: Final answer
    x = 1,061,856.21

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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.