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Finding the Third Proportional to 403,291 and 619,035

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Solution

The third proportional to 403,291 and 619,035 is: 950,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,291 : 619,035 = 619,035 : x
  2. Step 2: Convert to fraction form
    403,291/619,035 = 619,035/x
  3. Step 3: Cross multiply
    403,291x = 619,035 × 619,035
  4. Step 4: Simplify right side
    403,291x = 383,204,331,225
  5. Step 5: Solve for x
    x = 383,204,331,225/403,291
  6. Step 6: Final answer
    x = 950,193.11

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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.