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Finding the Third Proportional to 468.56 and 717.05

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Solution

The third proportional to 468.56 and 717.05 is: 1,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 717.05 = 717.05 : x
  2. Step 2: Convert to fraction form
    468.56/717.05 = 717.05/x
  3. Step 3: Cross multiply
    468.56x = 717.05 × 717.05
  4. Step 4: Simplify right side
    468.56x = 514,156.22
  5. Step 5: Solve for x
    x = 514,156.22/468.56
  6. Step 6: Final answer
    x = 1,097.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.