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Finding the Third Proportional to 564,250.50 and 864,087.75

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Solution

The third proportional to 564,250.50 and 864,087.75 is: 1,323,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,250.50 : 864,087.75 = 864,087.75 : x
  2. Step 2: Convert to fraction form
    564,250.50/864,087.75 = 864,087.75/x
  3. Step 3: Cross multiply
    564,250.50x = 864,087.75 × 864,087.75
  4. Step 4: Simplify right side
    564,250.50x = 746,647,639,700.06
  5. Step 5: Solve for x
    x = 746,647,639,700.06/564,250.50
  6. Step 6: Final answer
    x = 1,323,255.61

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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.