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Finding the Third Proportional to 396,608.63 and 595,792.13

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Solution

The third proportional to 396,608.63 and 595,792.13 is: 895,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,608.63 : 595,792.13 = 595,792.13 : x
  2. Step 2: Convert to fraction form
    396,608.63/595,792.13 = 595,792.13/x
  3. Step 3: Cross multiply
    396,608.63x = 595,792.13 × 595,792.13
  4. Step 4: Simplify right side
    396,608.63x = 354,968,256,212.02
  5. Step 5: Solve for x
    x = 354,968,256,212.02/396,608.63
  6. Step 6: Final answer
    x = 895,008.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.