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Finding the Third Proportional to 302,606 and 455,215

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Solution

The third proportional to 302,606 and 455,215 is: 684,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,606 : 455,215 = 455,215 : x
  2. Step 2: Convert to fraction form
    302,606/455,215 = 455,215/x
  3. Step 3: Cross multiply
    302,606x = 455,215 × 455,215
  4. Step 4: Simplify right side
    302,606x = 207,220,696,225
  5. Step 5: Solve for x
    x = 207,220,696,225/302,606
  6. Step 6: Final answer
    x = 684,787.14

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Why These Related Problems?

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