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Finding the Third Proportional to 343,357.31 and 523,032.19

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Solution

The third proportional to 343,357.31 and 523,032.19 is: 796,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,357.31 : 523,032.19 = 523,032.19 : x
  2. Step 2: Convert to fraction form
    343,357.31/523,032.19 = 523,032.19/x
  3. Step 3: Cross multiply
    343,357.31x = 523,032.19 × 523,032.19
  4. Step 4: Simplify right side
    343,357.31x = 273,562,669,161.04
  5. Step 5: Solve for x
    x = 273,562,669,161.04/343,357.31
  6. Step 6: Final answer
    x = 796,728.83

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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.