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Finding the Third Proportional to 342,135 and 492,831

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Solution

The third proportional to 342,135 and 492,831 is: 709,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,135 : 492,831 = 492,831 : x
  2. Step 2: Convert to fraction form
    342,135/492,831 = 492,831/x
  3. Step 3: Cross multiply
    342,135x = 492,831 × 492,831
  4. Step 4: Simplify right side
    342,135x = 242,882,394,561
  5. Step 5: Solve for x
    x = 242,882,394,561/342,135
  6. Step 6: Final answer
    x = 709,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.