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Finding the Third Proportional to 568,771.50 and 859,206

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Solution

The third proportional to 568,771.50 and 859,206 is: 1,297,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,771.50 : 859,206 = 859,206 : x
  2. Step 2: Convert to fraction form
    568,771.50/859,206 = 859,206/x
  3. Step 3: Cross multiply
    568,771.50x = 859,206 × 859,206
  4. Step 4: Simplify right side
    568,771.50x = 738,234,950,436
  5. Step 5: Solve for x
    x = 738,234,950,436/568,771.50
  6. Step 6: Final answer
    x = 1,297,946.45

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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.