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Finding the Third Proportional to 302,334 and 446,580

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Solution

The third proportional to 302,334 and 446,580 is: 659,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,334 : 446,580 = 446,580 : x
  2. Step 2: Convert to fraction form
    302,334/446,580 = 446,580/x
  3. Step 3: Cross multiply
    302,334x = 446,580 × 446,580
  4. Step 4: Simplify right side
    302,334x = 199,433,696,400
  5. Step 5: Solve for x
    x = 199,433,696,400/302,334
  6. Step 6: Final answer
    x = 659,646.93

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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.