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Finding the Third Proportional to 302,691.94 and 636,754.50

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Solution

The third proportional to 302,691.94 and 636,754.50 is: 1,339,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,691.94 : 636,754.50 = 636,754.50 : x
  2. Step 2: Convert to fraction form
    302,691.94/636,754.50 = 636,754.50/x
  3. Step 3: Cross multiply
    302,691.94x = 636,754.50 × 636,754.50
  4. Step 4: Simplify right side
    302,691.94x = 405,456,293,270.25
  5. Step 5: Solve for x
    x = 405,456,293,270.25/302,691.94
  6. Step 6: Final answer
    x = 1,339,501.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.