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Finding the Third Proportional to 370,355 and 553,092

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Solution

The third proportional to 370,355 and 553,092 is: 825,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,355 : 553,092 = 553,092 : x
  2. Step 2: Convert to fraction form
    370,355/553,092 = 553,092/x
  3. Step 3: Cross multiply
    370,355x = 553,092 × 553,092
  4. Step 4: Simplify right side
    370,355x = 305,910,760,464
  5. Step 5: Solve for x
    x = 305,910,760,464/370,355
  6. Step 6: Final answer
    x = 825,993.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.