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Finding the Third Proportional to 409,963.50 and 573,270.75

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Solution

The third proportional to 409,963.50 and 573,270.75 is: 801,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,963.50 : 573,270.75 = 573,270.75 : x
  2. Step 2: Convert to fraction form
    409,963.50/573,270.75 = 573,270.75/x
  3. Step 3: Cross multiply
    409,963.50x = 573,270.75 × 573,270.75
  4. Step 4: Simplify right side
    409,963.50x = 328,639,352,805.56
  5. Step 5: Solve for x
    x = 328,639,352,805.56/409,963.50
  6. Step 6: Final answer
    x = 801,630.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.