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Finding the Third Proportional to 403,826 and 588,212

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Solution

The third proportional to 403,826 and 588,212 is: 856,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,826 : 588,212 = 588,212 : x
  2. Step 2: Convert to fraction form
    403,826/588,212 = 588,212/x
  3. Step 3: Cross multiply
    403,826x = 588,212 × 588,212
  4. Step 4: Simplify right side
    403,826x = 345,993,356,944
  5. Step 5: Solve for x
    x = 345,993,356,944/403,826
  6. Step 6: Final answer
    x = 856,788.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.