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Finding the Third Proportional to 300,787 and 401,391

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Solution

The third proportional to 300,787 and 401,391 is: 535,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,787 : 401,391 = 401,391 : x
  2. Step 2: Convert to fraction form
    300,787/401,391 = 401,391/x
  3. Step 3: Cross multiply
    300,787x = 401,391 × 401,391
  4. Step 4: Simplify right side
    300,787x = 161,114,734,881
  5. Step 5: Solve for x
    x = 161,114,734,881/300,787
  6. Step 6: Final answer
    x = 535,643.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.