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Finding the Third Proportional to 343,374.75 and 523,059.75

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Solution

The third proportional to 343,374.75 and 523,059.75 is: 796,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,374.75 : 523,059.75 = 523,059.75 : x
  2. Step 2: Convert to fraction form
    343,374.75/523,059.75 = 523,059.75/x
  3. Step 3: Cross multiply
    343,374.75x = 523,059.75 × 523,059.75
  4. Step 4: Simplify right side
    343,374.75x = 273,591,502,070.06
  5. Step 5: Solve for x
    x = 273,591,502,070.06/343,374.75
  6. Step 6: Final answer
    x = 796,772.34

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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.