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Finding the Third Proportional to 318,002 and 430,347

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Solution

The third proportional to 318,002 and 430,347 is: 582,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,002 : 430,347 = 430,347 : x
  2. Step 2: Convert to fraction form
    318,002/430,347 = 430,347/x
  3. Step 3: Cross multiply
    318,002x = 430,347 × 430,347
  4. Step 4: Simplify right side
    318,002x = 185,198,540,409
  5. Step 5: Solve for x
    x = 185,198,540,409/318,002
  6. Step 6: Final answer
    x = 582,381.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.