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Finding the Third Proportional to 345,841.31 and 529,255.69

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Solution

The third proportional to 345,841.31 and 529,255.69 is: 809,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,841.31 : 529,255.69 = 529,255.69 : x
  2. Step 2: Convert to fraction form
    345,841.31/529,255.69 = 529,255.69/x
  3. Step 3: Cross multiply
    345,841.31x = 529,255.69 × 529,255.69
  4. Step 4: Simplify right side
    345,841.31x = 280,111,582,751.10
  5. Step 5: Solve for x
    x = 280,111,582,751.10/345,841.31
  6. Step 6: Final answer
    x = 809,942.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.