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Finding the Third Proportional to 409,549.50 and 641,061.50

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Solution

The third proportional to 409,549.50 and 641,061.50 is: 1,003,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,549.50 : 641,061.50 = 641,061.50 : x
  2. Step 2: Convert to fraction form
    409,549.50/641,061.50 = 641,061.50/x
  3. Step 3: Cross multiply
    409,549.50x = 641,061.50 × 641,061.50
  4. Step 4: Simplify right side
    409,549.50x = 410,959,846,782.25
  5. Step 5: Solve for x
    x = 410,959,846,782.25/409,549.50
  6. Step 6: Final answer
    x = 1,003,443.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.