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Finding the Third Proportional to 664,537.50 and 1,440,247.50

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Solution

The third proportional to 664,537.50 and 1,440,247.50 is: 3,121,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,537.50 : 1,440,247.50 = 1,440,247.50 : x
  2. Step 2: Convert to fraction form
    664,537.50/1,440,247.50 = 1,440,247.50/x
  3. Step 3: Cross multiply
    664,537.50x = 1,440,247.50 × 1,440,247.50
  4. Step 4: Simplify right side
    664,537.50x = 2,074,312,861,256.25
  5. Step 5: Solve for x
    x = 2,074,312,861,256.25/664,537.50
  6. Step 6: Final answer
    x = 3,121,438.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.