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Finding the Third Proportional to 302,814 and 636,981

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Solution

The third proportional to 302,814 and 636,981 is: 1,339,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814 : 636,981 = 636,981 : x
  2. Step 2: Convert to fraction form
    302,814/636,981 = 636,981/x
  3. Step 3: Cross multiply
    302,814x = 636,981 × 636,981
  4. Step 4: Simplify right side
    302,814x = 405,744,794,361
  5. Step 5: Solve for x
    x = 405,744,794,361/302,814
  6. Step 6: Final answer
    x = 1,339,914.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.