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Finding the Third Proportional to 309,588.75 and 632,297.25

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Solution

The third proportional to 309,588.75 and 632,297.25 is: 1,291,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,588.75 : 632,297.25 = 632,297.25 : x
  2. Step 2: Convert to fraction form
    309,588.75/632,297.25 = 632,297.25/x
  3. Step 3: Cross multiply
    309,588.75x = 632,297.25 × 632,297.25
  4. Step 4: Simplify right side
    309,588.75x = 399,799,812,357.56
  5. Step 5: Solve for x
    x = 399,799,812,357.56/309,588.75
  6. Step 6: Final answer
    x = 1,291,389.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.