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Finding the Third Proportional to 334.41 and 514.78

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Solution

The third proportional to 334.41 and 514.78 is: 792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.41 : 514.78 = 514.78 : x
  2. Step 2: Convert to fraction form
    334.41/514.78 = 514.78/x
  3. Step 3: Cross multiply
    334.41x = 514.78 × 514.78
  4. Step 4: Simplify right side
    334.41x = 264,999.74
  5. Step 5: Solve for x
    x = 264,999.74/334.41
  6. Step 6: Final answer
    x = 792.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.