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Finding the Third Proportional to 376,548 and 734,180

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Solution

The third proportional to 376,548 and 734,180 is: 1,431,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,548 : 734,180 = 734,180 : x
  2. Step 2: Convert to fraction form
    376,548/734,180 = 734,180/x
  3. Step 3: Cross multiply
    376,548x = 734,180 × 734,180
  4. Step 4: Simplify right side
    376,548x = 539,020,272,400
  5. Step 5: Solve for x
    x = 539,020,272,400/376,548
  6. Step 6: Final answer
    x = 1,431,478.25

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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.