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Finding the Third Proportional to 305,002 and 440,007

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Solution

The third proportional to 305,002 and 440,007 is: 634,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,002 : 440,007 = 440,007 : x
  2. Step 2: Convert to fraction form
    305,002/440,007 = 440,007/x
  3. Step 3: Cross multiply
    305,002x = 440,007 × 440,007
  4. Step 4: Simplify right side
    305,002x = 193,606,160,049
  5. Step 5: Solve for x
    x = 193,606,160,049/305,002
  6. Step 6: Final answer
    x = 634,770.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.