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Finding the Third Proportional to 269,365 and 401,711

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Solution

The third proportional to 269,365 and 401,711 is: 599,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,365 : 401,711 = 401,711 : x
  2. Step 2: Convert to fraction form
    269,365/401,711 = 401,711/x
  3. Step 3: Cross multiply
    269,365x = 401,711 × 401,711
  4. Step 4: Simplify right side
    269,365x = 161,371,727,521
  5. Step 5: Solve for x
    x = 161,371,727,521/269,365
  6. Step 6: Final answer
    x = 599,082.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.