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Finding the Third Proportional to 376,138 and 733,438

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Solution

The third proportional to 376,138 and 733,438 is: 1,430,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,138 : 733,438 = 733,438 : x
  2. Step 2: Convert to fraction form
    376,138/733,438 = 733,438/x
  3. Step 3: Cross multiply
    376,138x = 733,438 × 733,438
  4. Step 4: Simplify right side
    376,138x = 537,931,299,844
  5. Step 5: Solve for x
    x = 537,931,299,844/376,138
  6. Step 6: Final answer
    x = 1,430,143.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.