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Finding the Third Proportional to 403,193 and 595,596

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Solution

The third proportional to 403,193 and 595,596 is: 879,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,193 : 595,596 = 595,596 : x
  2. Step 2: Convert to fraction form
    403,193/595,596 = 595,596/x
  3. Step 3: Cross multiply
    403,193x = 595,596 × 595,596
  4. Step 4: Simplify right side
    403,193x = 354,734,595,216
  5. Step 5: Solve for x
    x = 354,734,595,216/403,193
  6. Step 6: Final answer
    x = 879,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.