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Finding the Third Proportional to 419,324 and 905,392

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Solution

The third proportional to 419,324 and 905,392 is: 1,954,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,324 : 905,392 = 905,392 : x
  2. Step 2: Convert to fraction form
    419,324/905,392 = 905,392/x
  3. Step 3: Cross multiply
    419,324x = 905,392 × 905,392
  4. Step 4: Simplify right side
    419,324x = 819,734,673,664
  5. Step 5: Solve for x
    x = 819,734,673,664/419,324
  6. Step 6: Final answer
    x = 1,954,895.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.