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Finding the Third Proportional to 302,608 and 455,217

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Solution

The third proportional to 302,608 and 455,217 is: 684,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,608 : 455,217 = 455,217 : x
  2. Step 2: Convert to fraction form
    302,608/455,217 = 455,217/x
  3. Step 3: Cross multiply
    302,608x = 455,217 × 455,217
  4. Step 4: Simplify right side
    302,608x = 207,222,517,089
  5. Step 5: Solve for x
    x = 207,222,517,089/302,608
  6. Step 6: Final answer
    x = 684,788.63

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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.