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Finding the Third Proportional to 354,652.50 and 768,286.50

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Solution

The third proportional to 354,652.50 and 768,286.50 is: 1,664,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,652.50 : 768,286.50 = 768,286.50 : x
  2. Step 2: Convert to fraction form
    354,652.50/768,286.50 = 768,286.50/x
  3. Step 3: Cross multiply
    354,652.50x = 768,286.50 × 768,286.50
  4. Step 4: Simplify right side
    354,652.50x = 590,264,146,082.25
  5. Step 5: Solve for x
    x = 590,264,146,082.25/354,652.50
  6. Step 6: Final answer
    x = 1,664,345.09

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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.