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Finding the Third Proportional to 300,814.88 and 653,500.13

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Solution

The third proportional to 300,814.88 and 653,500.13 is: 1,419,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.88 : 653,500.13 = 653,500.13 : x
  2. Step 2: Convert to fraction form
    300,814.88/653,500.13 = 653,500.13/x
  3. Step 3: Cross multiply
    300,814.88x = 653,500.13 × 653,500.13
  4. Step 4: Simplify right side
    300,814.88x = 427,062,413,375.02
  5. Step 5: Solve for x
    x = 427,062,413,375.02/300,814.88
  6. Step 6: Final answer
    x = 1,419,685.16

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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.