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Finding the Third Proportional to 337,603 and 522,578

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Solution

The third proportional to 337,603 and 522,578 is: 808,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,603 : 522,578 = 522,578 : x
  2. Step 2: Convert to fraction form
    337,603/522,578 = 522,578/x
  3. Step 3: Cross multiply
    337,603x = 522,578 × 522,578
  4. Step 4: Simplify right side
    337,603x = 273,087,766,084
  5. Step 5: Solve for x
    x = 273,087,766,084/337,603
  6. Step 6: Final answer
    x = 808,902.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.