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Finding the Third Proportional to 302,338 and 446,586

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Solution

The third proportional to 302,338 and 446,586 is: 659,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,338 : 446,586 = 446,586 : x
  2. Step 2: Convert to fraction form
    302,338/446,586 = 446,586/x
  3. Step 3: Cross multiply
    302,338x = 446,586 × 446,586
  4. Step 4: Simplify right side
    302,338x = 199,439,055,396
  5. Step 5: Solve for x
    x = 199,439,055,396/302,338
  6. Step 6: Final answer
    x = 659,655.93

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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.