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Finding the Third Proportional to 569,616.75 and 858,800.25

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Solution

The third proportional to 569,616.75 and 858,800.25 is: 1,294,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,616.75 : 858,800.25 = 858,800.25 : x
  2. Step 2: Convert to fraction form
    569,616.75/858,800.25 = 858,800.25/x
  3. Step 3: Cross multiply
    569,616.75x = 858,800.25 × 858,800.25
  4. Step 4: Simplify right side
    569,616.75x = 737,537,869,400.06
  5. Step 5: Solve for x
    x = 737,537,869,400.06/569,616.75
  6. Step 6: Final answer
    x = 1,294,796.67

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