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Finding the Third Proportional to 370,380.38 and 503,058.38

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Solution

The third proportional to 370,380.38 and 503,058.38 is: 683,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,380.38 : 503,058.38 = 503,058.38 : x
  2. Step 2: Convert to fraction form
    370,380.38/503,058.38 = 503,058.38/x
  3. Step 3: Cross multiply
    370,380.38x = 503,058.38 × 503,058.38
  4. Step 4: Simplify right side
    370,380.38x = 253,067,728,657.64
  5. Step 5: Solve for x
    x = 253,067,728,657.64/370,380.38
  6. Step 6: Final answer
    x = 683,264.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.