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Finding the Third Proportional to 302,936 and 475,252

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Solution

The third proportional to 302,936 and 475,252 is: 745,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,936 : 475,252 = 475,252 : x
  2. Step 2: Convert to fraction form
    302,936/475,252 = 475,252/x
  3. Step 3: Cross multiply
    302,936x = 475,252 × 475,252
  4. Step 4: Simplify right side
    302,936x = 225,864,463,504
  5. Step 5: Solve for x
    x = 225,864,463,504/302,936
  6. Step 6: Final answer
    x = 745,584.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.