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Finding the Third Proportional to 285,755.25 and 614,521.50

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Solution

The third proportional to 285,755.25 and 614,521.50 is: 1,321,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.25 : 614,521.50 = 614,521.50 : x
  2. Step 2: Convert to fraction form
    285,755.25/614,521.50 = 614,521.50/x
  3. Step 3: Cross multiply
    285,755.25x = 614,521.50 × 614,521.50
  4. Step 4: Simplify right side
    285,755.25x = 377,636,673,962.25
  5. Step 5: Solve for x
    x = 377,636,673,962.25/285,755.25
  6. Step 6: Final answer
    x = 1,321,538.88

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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.