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Finding the Third Proportional to 564,002 and 851,835

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Solution

The third proportional to 564,002 and 851,835 is: 1,286,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,002 : 851,835 = 851,835 : x
  2. Step 2: Convert to fraction form
    564,002/851,835 = 851,835/x
  3. Step 3: Cross multiply
    564,002x = 851,835 × 851,835
  4. Step 4: Simplify right side
    564,002x = 725,622,867,225
  5. Step 5: Solve for x
    x = 725,622,867,225/564,002
  6. Step 6: Final answer
    x = 1,286,560.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.