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Finding the Third Proportional to 531,704.53 and 817,268.34

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Solution

The third proportional to 531,704.53 and 817,268.34 is: 1,256,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,704.53 : 817,268.34 = 817,268.34 : x
  2. Step 2: Convert to fraction form
    531,704.53/817,268.34 = 817,268.34/x
  3. Step 3: Cross multiply
    531,704.53x = 817,268.34 × 817,268.34
  4. Step 4: Simplify right side
    531,704.53x = 667,927,545,695.87
  5. Step 5: Solve for x
    x = 667,927,545,695.87/531,704.53
  6. Step 6: Final answer
    x = 1,256,200.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.