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Finding the Third Proportional to 302,469 and 446,805

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Solution

The third proportional to 302,469 and 446,805 is: 660,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,469 : 446,805 = 446,805 : x
  2. Step 2: Convert to fraction form
    302,469/446,805 = 446,805/x
  3. Step 3: Cross multiply
    302,469x = 446,805 × 446,805
  4. Step 4: Simplify right side
    302,469x = 199,634,708,025
  5. Step 5: Solve for x
    x = 199,634,708,025/302,469
  6. Step 6: Final answer
    x = 660,017.09

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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.