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Finding the Third Proportional to 371,954 and 805,711

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Solution

The third proportional to 371,954 and 805,711 is: 1,745,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,954 : 805,711 = 805,711 : x
  2. Step 2: Convert to fraction form
    371,954/805,711 = 805,711/x
  3. Step 3: Cross multiply
    371,954x = 805,711 × 805,711
  4. Step 4: Simplify right side
    371,954x = 649,170,215,521
  5. Step 5: Solve for x
    x = 649,170,215,521/371,954
  6. Step 6: Final answer
    x = 1,745,297.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.