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Finding the Third Proportional to 302,601.75 and 455,208.75

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Solution

The third proportional to 302,601.75 and 455,208.75 is: 684,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,601.75 : 455,208.75 = 455,208.75 : x
  2. Step 2: Convert to fraction form
    302,601.75/455,208.75 = 455,208.75/x
  3. Step 3: Cross multiply
    302,601.75x = 455,208.75 × 455,208.75
  4. Step 4: Simplify right side
    302,601.75x = 207,215,006,076.56
  5. Step 5: Solve for x
    x = 207,215,006,076.56/302,601.75
  6. Step 6: Final answer
    x = 684,777.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.