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Finding the Third Proportional to 323,460 and 701,898.75

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Solution

The third proportional to 323,460 and 701,898.75 is: 1,523,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,460 : 701,898.75 = 701,898.75 : x
  2. Step 2: Convert to fraction form
    323,460/701,898.75 = 701,898.75/x
  3. Step 3: Cross multiply
    323,460x = 701,898.75 × 701,898.75
  4. Step 4: Simplify right side
    323,460x = 492,661,855,251.56
  5. Step 5: Solve for x
    x = 492,661,855,251.56/323,460
  6. Step 6: Final answer
    x = 1,523,099.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.