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Finding the Third Proportional to 412.88 and 568.69

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Solution

The third proportional to 412.88 and 568.69 is: 783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 568.69 = 568.69 : x
  2. Step 2: Convert to fraction form
    412.88/568.69 = 568.69/x
  3. Step 3: Cross multiply
    412.88x = 568.69 × 568.69
  4. Step 4: Simplify right side
    412.88x = 323,405.47
  5. Step 5: Solve for x
    x = 323,405.47/412.88
  6. Step 6: Final answer
    x = 783.30

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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.