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Finding the Third Proportional to 343,359.56 and 523,035.56

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Solution

The third proportional to 343,359.56 and 523,035.56 is: 796,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359.56 : 523,035.56 = 523,035.56 : x
  2. Step 2: Convert to fraction form
    343,359.56/523,035.56 = 523,035.56/x
  3. Step 3: Cross multiply
    343,359.56x = 523,035.56 × 523,035.56
  4. Step 4: Simplify right side
    343,359.56x = 273,566,199,639.69
  5. Step 5: Solve for x
    x = 273,566,199,639.69/343,359.56
  6. Step 6: Final answer
    x = 796,733.89

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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.