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Finding the Third Proportional to 305,880 and 658,628

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Solution

The third proportional to 305,880 and 658,628 is: 1,418,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,880 : 658,628 = 658,628 : x
  2. Step 2: Convert to fraction form
    305,880/658,628 = 658,628/x
  3. Step 3: Cross multiply
    305,880x = 658,628 × 658,628
  4. Step 4: Simplify right side
    305,880x = 433,790,842,384
  5. Step 5: Solve for x
    x = 433,790,842,384/305,880
  6. Step 6: Final answer
    x = 1,418,173.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.