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Finding the Third Proportional to 257,728.50 and 533,135.25

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Solution

The third proportional to 257,728.50 and 533,135.25 is: 1,102,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,728.50 : 533,135.25 = 533,135.25 : x
  2. Step 2: Convert to fraction form
    257,728.50/533,135.25 = 533,135.25/x
  3. Step 3: Cross multiply
    257,728.50x = 533,135.25 × 533,135.25
  4. Step 4: Simplify right side
    257,728.50x = 284,233,194,792.56
  5. Step 5: Solve for x
    x = 284,233,194,792.56/257,728.50
  6. Step 6: Final answer
    x = 1,102,839.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.