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Finding the Third Proportional to 299,938 and 477,002

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Solution

The third proportional to 299,938 and 477,002 is: 758,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,938 : 477,002 = 477,002 : x
  2. Step 2: Convert to fraction form
    299,938/477,002 = 477,002/x
  3. Step 3: Cross multiply
    299,938x = 477,002 × 477,002
  4. Step 4: Simplify right side
    299,938x = 227,530,908,004
  5. Step 5: Solve for x
    x = 227,530,908,004/299,938
  6. Step 6: Final answer
    x = 758,593.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.