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Finding the Third Proportional to 305,242 and 663,016

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Solution

The third proportional to 305,242 and 663,016 is: 1,440,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,242 : 663,016 = 663,016 : x
  2. Step 2: Convert to fraction form
    305,242/663,016 = 663,016/x
  3. Step 3: Cross multiply
    305,242x = 663,016 × 663,016
  4. Step 4: Simplify right side
    305,242x = 439,590,216,256
  5. Step 5: Solve for x
    x = 439,590,216,256/305,242
  6. Step 6: Final answer
    x = 1,440,136.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.