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Finding the Third Proportional to 376,479.75 and 734,043

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Solution

The third proportional to 376,479.75 and 734,043 is: 1,431,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,479.75 : 734,043 = 734,043 : x
  2. Step 2: Convert to fraction form
    376,479.75/734,043 = 734,043/x
  3. Step 3: Cross multiply
    376,479.75x = 734,043 × 734,043
  4. Step 4: Simplify right side
    376,479.75x = 538,819,125,849
  5. Step 5: Solve for x
    x = 538,819,125,849/376,479.75
  6. Step 6: Final answer
    x = 1,431,203.47

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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.