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Finding the Third Proportional to 376,524 and 734,128

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Solution

The third proportional to 376,524 and 734,128 is: 1,431,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,524 : 734,128 = 734,128 : x
  2. Step 2: Convert to fraction form
    376,524/734,128 = 734,128/x
  3. Step 3: Cross multiply
    376,524x = 734,128 × 734,128
  4. Step 4: Simplify right side
    376,524x = 538,943,920,384
  5. Step 5: Solve for x
    x = 538,943,920,384/376,524
  6. Step 6: Final answer
    x = 1,431,366.71

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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.