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Finding the Third Proportional to 302,426 and 446,742

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Solution

The third proportional to 302,426 and 446,742 is: 659,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,426 : 446,742 = 446,742 : x
  2. Step 2: Convert to fraction form
    302,426/446,742 = 446,742/x
  3. Step 3: Cross multiply
    302,426x = 446,742 × 446,742
  4. Step 4: Simplify right side
    302,426x = 199,578,414,564
  5. Step 5: Solve for x
    x = 199,578,414,564/302,426
  6. Step 6: Final answer
    x = 659,924.79

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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.