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Finding the Third Proportional to 443,016 and 669,132

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Solution

The third proportional to 443,016 and 669,132 is: 1,010,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,016 : 669,132 = 669,132 : x
  2. Step 2: Convert to fraction form
    443,016/669,132 = 669,132/x
  3. Step 3: Cross multiply
    443,016x = 669,132 × 669,132
  4. Step 4: Simplify right side
    443,016x = 447,737,633,424
  5. Step 5: Solve for x
    x = 447,737,633,424/443,016
  6. Step 6: Final answer
    x = 1,010,657.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.