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Finding the Third Proportional to 225,982 and 495,380

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Solution

The third proportional to 225,982 and 495,380 is: 1,085,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,982 : 495,380 = 495,380 : x
  2. Step 2: Convert to fraction form
    225,982/495,380 = 495,380/x
  3. Step 3: Cross multiply
    225,982x = 495,380 × 495,380
  4. Step 4: Simplify right side
    225,982x = 245,401,344,400
  5. Step 5: Solve for x
    x = 245,401,344,400/225,982
  6. Step 6: Final answer
    x = 1,085,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.