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Finding the Third Proportional to 720,198.75 and 1,573,278

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Solution

The third proportional to 720,198.75 and 1,573,278 is: 3,436,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,198.75 : 1,573,278 = 1,573,278 : x
  2. Step 2: Convert to fraction form
    720,198.75/1,573,278 = 1,573,278/x
  3. Step 3: Cross multiply
    720,198.75x = 1,573,278 × 1,573,278
  4. Step 4: Simplify right side
    720,198.75x = 2,475,203,665,284
  5. Step 5: Solve for x
    x = 2,475,203,665,284/720,198.75
  6. Step 6: Final answer
    x = 3,436,834.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.