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Finding the Third Proportional to 313,062 and 475,578

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Solution

The third proportional to 313,062 and 475,578 is: 722,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,062 : 475,578 = 475,578 : x
  2. Step 2: Convert to fraction form
    313,062/475,578 = 475,578/x
  3. Step 3: Cross multiply
    313,062x = 475,578 × 475,578
  4. Step 4: Simplify right side
    313,062x = 226,174,434,084
  5. Step 5: Solve for x
    x = 226,174,434,084/313,062
  6. Step 6: Final answer
    x = 722,458.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.