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Finding the Third Proportional to 342,049.50 and 733,915.13

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Solution

The third proportional to 342,049.50 and 733,915.13 is: 1,574,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,049.50 : 733,915.13 = 733,915.13 : x
  2. Step 2: Convert to fraction form
    342,049.50/733,915.13 = 733,915.13/x
  3. Step 3: Cross multiply
    342,049.50x = 733,915.13 × 733,915.13
  4. Step 4: Simplify right side
    342,049.50x = 538,631,410,703.77
  5. Step 5: Solve for x
    x = 538,631,410,703.77/342,049.50
  6. Step 6: Final answer
    x = 1,574,717.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.