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Finding the Third Proportional to 322,652.75 and 695,819.75

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Solution

The third proportional to 322,652.75 and 695,819.75 is: 1,500,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,652.75 : 695,819.75 = 695,819.75 : x
  2. Step 2: Convert to fraction form
    322,652.75/695,819.75 = 695,819.75/x
  3. Step 3: Cross multiply
    322,652.75x = 695,819.75 × 695,819.75
  4. Step 4: Simplify right side
    322,652.75x = 484,165,124,490.06
  5. Step 5: Solve for x
    x = 484,165,124,490.06/322,652.75
  6. Step 6: Final answer
    x = 1,500,576.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.