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Finding the Third Proportional to 302,898 and 475,185

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Solution

The third proportional to 302,898 and 475,185 is: 745,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,898 : 475,185 = 475,185 : x
  2. Step 2: Convert to fraction form
    302,898/475,185 = 475,185/x
  3. Step 3: Cross multiply
    302,898x = 475,185 × 475,185
  4. Step 4: Simplify right side
    302,898x = 225,800,784,225
  5. Step 5: Solve for x
    x = 225,800,784,225/302,898
  6. Step 6: Final answer
    x = 745,468.06

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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.