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Finding the Third Proportional to 334.76 and 457.76

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Solution

The third proportional to 334.76 and 457.76 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 457.76 = 457.76 : x
  2. Step 2: Convert to fraction form
    334.76/457.76 = 457.76/x
  3. Step 3: Cross multiply
    334.76x = 457.76 × 457.76
  4. Step 4: Simplify right side
    334.76x = 209,544.90
  5. Step 5: Solve for x
    x = 209,544.90/334.76
  6. Step 6: Final answer
    x = 625.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.