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Finding the Third Proportional to 613,262.25 and 913,899.38

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Solution

The third proportional to 613,262.25 and 913,899.38 is: 1,361,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,262.25 : 913,899.38 = 913,899.38 : x
  2. Step 2: Convert to fraction form
    613,262.25/913,899.38 = 913,899.38/x
  3. Step 3: Cross multiply
    613,262.25x = 913,899.38 × 913,899.38
  4. Step 4: Simplify right side
    613,262.25x = 835,212,067,625.39
  5. Step 5: Solve for x
    x = 835,212,067,625.39/613,262.25
  6. Step 6: Final answer
    x = 1,361,916.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.