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Finding the Third Proportional to 338,632.88 and 495,801.56

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Solution

The third proportional to 338,632.88 and 495,801.56 is: 725,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,632.88 : 495,801.56 = 495,801.56 : x
  2. Step 2: Convert to fraction form
    338,632.88/495,801.56 = 495,801.56/x
  3. Step 3: Cross multiply
    338,632.88x = 495,801.56 × 495,801.56
  4. Step 4: Simplify right side
    338,632.88x = 245,819,189,377.44
  5. Step 5: Solve for x
    x = 245,819,189,377.44/338,632.88
  6. Step 6: Final answer
    x = 725,916.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.