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Finding the Third Proportional to 394,866 and 595,854

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Solution

The third proportional to 394,866 and 595,854 is: 899,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,866 : 595,854 = 595,854 : x
  2. Step 2: Convert to fraction form
    394,866/595,854 = 595,854/x
  3. Step 3: Cross multiply
    394,866x = 595,854 × 595,854
  4. Step 4: Simplify right side
    394,866x = 355,041,989,316
  5. Step 5: Solve for x
    x = 355,041,989,316/394,866
  6. Step 6: Final answer
    x = 899,145.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.