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Finding the Third Proportional to 301,105 and 440,350

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Solution

The third proportional to 301,105 and 440,350 is: 643,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,105 : 440,350 = 440,350 : x
  2. Step 2: Convert to fraction form
    301,105/440,350 = 440,350/x
  3. Step 3: Cross multiply
    301,105x = 440,350 × 440,350
  4. Step 4: Simplify right side
    301,105x = 193,908,122,500
  5. Step 5: Solve for x
    x = 193,908,122,500/301,105
  6. Step 6: Final answer
    x = 643,988.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.