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Finding the Third Proportional to 376,502 and 734,084

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Solution

The third proportional to 376,502 and 734,084 is: 1,431,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,502 : 734,084 = 734,084 : x
  2. Step 2: Convert to fraction form
    376,502/734,084 = 734,084/x
  3. Step 3: Cross multiply
    376,502x = 734,084 × 734,084
  4. Step 4: Simplify right side
    376,502x = 538,879,319,056
  5. Step 5: Solve for x
    x = 538,879,319,056/376,502
  6. Step 6: Final answer
    x = 1,431,278.77

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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.