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Finding the Third Proportional to 568.50 and 785.44

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Solution

The third proportional to 568.50 and 785.44 is: 1,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 785.44 = 785.44 : x
  2. Step 2: Convert to fraction form
    568.50/785.44 = 785.44/x
  3. Step 3: Cross multiply
    568.50x = 785.44 × 785.44
  4. Step 4: Simplify right side
    568.50x = 616,912.07
  5. Step 5: Solve for x
    x = 616,912.07/568.50
  6. Step 6: Final answer
    x = 1,085.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.