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Finding the Third Proportional to 291,218.63 and 680,168.81

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Solution

The third proportional to 291,218.63 and 680,168.81 is: 1,588,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218.63 : 680,168.81 = 680,168.81 : x
  2. Step 2: Convert to fraction form
    291,218.63/680,168.81 = 680,168.81/x
  3. Step 3: Cross multiply
    291,218.63x = 680,168.81 × 680,168.81
  4. Step 4: Simplify right side
    291,218.63x = 462,629,613,497.66
  5. Step 5: Solve for x
    x = 462,629,613,497.66/291,218.63
  6. Step 6: Final answer
    x = 1,588,598.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.