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Finding the Third Proportional to 531,999.14 and 803,517.47

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Solution

The third proportional to 531,999.14 and 803,517.47 is: 1,213,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,999.14 : 803,517.47 = 803,517.47 : x
  2. Step 2: Convert to fraction form
    531,999.14/803,517.47 = 803,517.47/x
  3. Step 3: Cross multiply
    531,999.14x = 803,517.47 × 803,517.47
  4. Step 4: Simplify right side
    531,999.14x = 645,640,322,586.41
  5. Step 5: Solve for x
    x = 645,640,322,586.41/531,999.14
  6. Step 6: Final answer
    x = 1,213,611.59

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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.