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Finding the Third Proportional to 559,471.50 and 858,530.25

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Solution

The third proportional to 559,471.50 and 858,530.25 is: 1,317,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,471.50 : 858,530.25 = 858,530.25 : x
  2. Step 2: Convert to fraction form
    559,471.50/858,530.25 = 858,530.25/x
  3. Step 3: Cross multiply
    559,471.50x = 858,530.25 × 858,530.25
  4. Step 4: Simplify right side
    559,471.50x = 737,074,190,165.06
  5. Step 5: Solve for x
    x = 737,074,190,165.06/559,471.50
  6. Step 6: Final answer
    x = 1,317,447.25

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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.