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Finding the Third Proportional to 334.69 and 515.06

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Solution

The third proportional to 334.69 and 515.06 is: 792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 515.06 = 515.06 : x
  2. Step 2: Convert to fraction form
    334.69/515.06 = 515.06/x
  3. Step 3: Cross multiply
    334.69x = 515.06 × 515.06
  4. Step 4: Simplify right side
    334.69x = 265,289.38
  5. Step 5: Solve for x
    x = 265,289.38/334.69
  6. Step 6: Final answer
    x = 792.65

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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.