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Finding the Third Proportional to 345,827.25 and 529,234.88

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Solution

The third proportional to 345,827.25 and 529,234.88 is: 809,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,827.25 : 529,234.88 = 529,234.88 : x
  2. Step 2: Convert to fraction form
    345,827.25/529,234.88 = 529,234.88/x
  3. Step 3: Cross multiply
    345,827.25x = 529,234.88 × 529,234.88
  4. Step 4: Simplify right side
    345,827.25x = 280,089,552,916.27
  5. Step 5: Solve for x
    x = 280,089,552,916.27/345,827.25
  6. Step 6: Final answer
    x = 809,911.75

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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.