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Finding the Third Proportional to 284,372 and 614,347

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Solution

The third proportional to 284,372 and 614,347 is: 1,327,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,372 : 614,347 = 614,347 : x
  2. Step 2: Convert to fraction form
    284,372/614,347 = 614,347/x
  3. Step 3: Cross multiply
    284,372x = 614,347 × 614,347
  4. Step 4: Simplify right side
    284,372x = 377,422,236,409
  5. Step 5: Solve for x
    x = 377,422,236,409/284,372
  6. Step 6: Final answer
    x = 1,327,213.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.