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Finding the Third Proportional to 285,538 and 614,137.50

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Solution

The third proportional to 285,538 and 614,137.50 is: 1,320,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,538 : 614,137.50 = 614,137.50 : x
  2. Step 2: Convert to fraction form
    285,538/614,137.50 = 614,137.50/x
  3. Step 3: Cross multiply
    285,538x = 614,137.50 × 614,137.50
  4. Step 4: Simplify right side
    285,538x = 377,164,868,906.25
  5. Step 5: Solve for x
    x = 377,164,868,906.25/285,538
  6. Step 6: Final answer
    x = 1,320,892.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.