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Finding the Third Proportional to 568.01 and 1,225.52

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Solution

The third proportional to 568.01 and 1,225.52 is: 2,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.01 : 1,225.52 = 1,225.52 : x
  2. Step 2: Convert to fraction form
    568.01/1,225.52 = 1,225.52/x
  3. Step 3: Cross multiply
    568.01x = 1,225.52 × 1,225.52
  4. Step 4: Simplify right side
    568.01x = 1,501,907.70
  5. Step 5: Solve for x
    x = 1,501,907.70/568.01
  6. Step 6: Final answer
    x = 2,644.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.