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Finding the Third Proportional to 499,693.50 and 656,052.75

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Solution

The third proportional to 499,693.50 and 656,052.75 is: 861,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,693.50 : 656,052.75 = 656,052.75 : x
  2. Step 2: Convert to fraction form
    499,693.50/656,052.75 = 656,052.75/x
  3. Step 3: Cross multiply
    499,693.50x = 656,052.75 × 656,052.75
  4. Step 4: Simplify right side
    499,693.50x = 430,405,210,782.56
  5. Step 5: Solve for x
    x = 430,405,210,782.56/499,693.50
  6. Step 6: Final answer
    x = 861,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.