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Finding the Third Proportional to 338,792.50 and 495,441.25

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Solution

The third proportional to 338,792.50 and 495,441.25 is: 724,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,792.50 : 495,441.25 = 495,441.25 : x
  2. Step 2: Convert to fraction form
    338,792.50/495,441.25 = 495,441.25/x
  3. Step 3: Cross multiply
    338,792.50x = 495,441.25 × 495,441.25
  4. Step 4: Simplify right side
    338,792.50x = 245,462,032,201.56
  5. Step 5: Solve for x
    x = 245,462,032,201.56/338,792.50
  6. Step 6: Final answer
    x = 724,520.27

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