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Finding the Third Proportional to 274,566.74 and 596,361.16

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Solution

The third proportional to 274,566.74 and 596,361.16 is: 1,295,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,566.74 : 596,361.16 = 596,361.16 : x
  2. Step 2: Convert to fraction form
    274,566.74/596,361.16 = 596,361.16/x
  3. Step 3: Cross multiply
    274,566.74x = 596,361.16 × 596,361.16
  4. Step 4: Simplify right side
    274,566.74x = 355,646,627,519.06
  5. Step 5: Solve for x
    x = 355,646,627,519.06/274,566.74
  6. Step 6: Final answer
    x = 1,295,301.18

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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.