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Finding the Third Proportional to 531,450 and 807,016

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Solution

The third proportional to 531,450 and 807,016 is: 1,225,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,450 : 807,016 = 807,016 : x
  2. Step 2: Convert to fraction form
    531,450/807,016 = 807,016/x
  3. Step 3: Cross multiply
    531,450x = 807,016 × 807,016
  4. Step 4: Simplify right side
    531,450x = 651,274,824,256
  5. Step 5: Solve for x
    x = 651,274,824,256/531,450
  6. Step 6: Final answer
    x = 1,225,467.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.