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Finding the Third Proportional to 302,421 and 446,736

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Solution

The third proportional to 302,421 and 446,736 is: 659,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,421 : 446,736 = 446,736 : x
  2. Step 2: Convert to fraction form
    302,421/446,736 = 446,736/x
  3. Step 3: Cross multiply
    302,421x = 446,736 × 446,736
  4. Step 4: Simplify right side
    302,421x = 199,573,053,696
  5. Step 5: Solve for x
    x = 199,573,053,696/302,421
  6. Step 6: Final answer
    x = 659,917.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.