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Finding the Third Proportional to 534,268 and 783,906

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Solution

The third proportional to 534,268 and 783,906 is: 1,150,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,268 : 783,906 = 783,906 : x
  2. Step 2: Convert to fraction form
    534,268/783,906 = 783,906/x
  3. Step 3: Cross multiply
    534,268x = 783,906 × 783,906
  4. Step 4: Simplify right side
    534,268x = 614,508,616,836
  5. Step 5: Solve for x
    x = 614,508,616,836/534,268
  6. Step 6: Final answer
    x = 1,150,187.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.