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Finding the Third Proportional to 285,114 and 614,436

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Solution

The third proportional to 285,114 and 614,436 is: 1,324,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,114 : 614,436 = 614,436 : x
  2. Step 2: Convert to fraction form
    285,114/614,436 = 614,436/x
  3. Step 3: Cross multiply
    285,114x = 614,436 × 614,436
  4. Step 4: Simplify right side
    285,114x = 377,531,598,096
  5. Step 5: Solve for x
    x = 377,531,598,096/285,114
  6. Step 6: Final answer
    x = 1,324,142.62

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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.