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Finding the Third Proportional to 569,632.50 and 858,093.75

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Solution

The third proportional to 569,632.50 and 858,093.75 is: 1,292,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,632.50 : 858,093.75 = 858,093.75 : x
  2. Step 2: Convert to fraction form
    569,632.50/858,093.75 = 858,093.75/x
  3. Step 3: Cross multiply
    569,632.50x = 858,093.75 × 858,093.75
  4. Step 4: Simplify right side
    569,632.50x = 736,324,883,789.06
  5. Step 5: Solve for x
    x = 736,324,883,789.06/569,632.50
  6. Step 6: Final answer
    x = 1,292,631.45

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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.