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Finding the Third Proportional to 568,435.50 and 858,541.50

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Solution

The third proportional to 568,435.50 and 858,541.50 is: 1,296,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,435.50 : 858,541.50 = 858,541.50 : x
  2. Step 2: Convert to fraction form
    568,435.50/858,541.50 = 858,541.50/x
  3. Step 3: Cross multiply
    568,435.50x = 858,541.50 × 858,541.50
  4. Step 4: Simplify right side
    568,435.50x = 737,093,507,222.25
  5. Step 5: Solve for x
    x = 737,093,507,222.25/568,435.50
  6. Step 6: Final answer
    x = 1,296,705.62

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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.