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Finding the Third Proportional to 342,948 and 733,180

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Solution

The third proportional to 342,948 and 733,180 is: 1,567,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,948 : 733,180 = 733,180 : x
  2. Step 2: Convert to fraction form
    342,948/733,180 = 733,180/x
  3. Step 3: Cross multiply
    342,948x = 733,180 × 733,180
  4. Step 4: Simplify right side
    342,948x = 537,552,912,400
  5. Step 5: Solve for x
    x = 537,552,912,400/342,948
  6. Step 6: Final answer
    x = 1,567,447.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.