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Finding the Third Proportional to 311,401.13 and 680,967

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Solution

The third proportional to 311,401.13 and 680,967 is: 1,489,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,401.13 : 680,967 = 680,967 : x
  2. Step 2: Convert to fraction form
    311,401.13/680,967 = 680,967/x
  3. Step 3: Cross multiply
    311,401.13x = 680,967 × 680,967
  4. Step 4: Simplify right side
    311,401.13x = 463,716,055,089
  5. Step 5: Solve for x
    x = 463,716,055,089/311,401.13
  6. Step 6: Final answer
    x = 1,489,127.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.