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Finding the Third Proportional to 403,286.25 and 619,029

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Solution

The third proportional to 403,286.25 and 619,029 is: 950,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,286.25 : 619,029 = 619,029 : x
  2. Step 2: Convert to fraction form
    403,286.25/619,029 = 619,029/x
  3. Step 3: Cross multiply
    403,286.25x = 619,029 × 619,029
  4. Step 4: Simplify right side
    403,286.25x = 383,196,902,841
  5. Step 5: Solve for x
    x = 383,196,902,841/403,286.25
  6. Step 6: Final answer
    x = 950,185.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.