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Finding the Third Proportional to 302,764 and 468,795

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Solution

The third proportional to 302,764 and 468,795 is: 725,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,764 : 468,795 = 468,795 : x
  2. Step 2: Convert to fraction form
    302,764/468,795 = 468,795/x
  3. Step 3: Cross multiply
    302,764x = 468,795 × 468,795
  4. Step 4: Simplify right side
    302,764x = 219,768,752,025
  5. Step 5: Solve for x
    x = 219,768,752,025/302,764
  6. Step 6: Final answer
    x = 725,874.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.