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Finding the Third Proportional to 568,464.75 and 858,619.69

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Solution

The third proportional to 568,464.75 and 858,619.69 is: 1,296,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,464.75 : 858,619.69 = 858,619.69 : x
  2. Step 2: Convert to fraction form
    568,464.75/858,619.69 = 858,619.69/x
  3. Step 3: Cross multiply
    568,464.75x = 858,619.69 × 858,619.69
  4. Step 4: Simplify right side
    568,464.75x = 737,227,767,762.60
  5. Step 5: Solve for x
    x = 737,227,767,762.60/568,464.75
  6. Step 6: Final answer
    x = 1,296,875.08

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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.