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Finding the Third Proportional to 205,744.50 and 495,609

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Solution

The third proportional to 205,744.50 and 495,609 is: 1,193,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.50 : 495,609 = 495,609 : x
  2. Step 2: Convert to fraction form
    205,744.50/495,609 = 495,609/x
  3. Step 3: Cross multiply
    205,744.50x = 495,609 × 495,609
  4. Step 4: Simplify right side
    205,744.50x = 245,628,280,881
  5. Step 5: Solve for x
    x = 245,628,280,881/205,744.50
  6. Step 6: Final answer
    x = 1,193,851.02

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.