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Finding the Third Proportional to 217,815.75 and 529,750.13

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Solution

The third proportional to 217,815.75 and 529,750.13 is: 1,288,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,815.75 : 529,750.13 = 529,750.13 : x
  2. Step 2: Convert to fraction form
    217,815.75/529,750.13 = 529,750.13/x
  3. Step 3: Cross multiply
    217,815.75x = 529,750.13 × 529,750.13
  4. Step 4: Simplify right side
    217,815.75x = 280,635,194,937.52
  5. Step 5: Solve for x
    x = 280,635,194,937.52/217,815.75
  6. Step 6: Final answer
    x = 1,288,406.35

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.