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Finding the Third Proportional to 334.76 and 722.04

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Solution

The third proportional to 334.76 and 722.04 is: 1,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 722.04 = 722.04 : x
  2. Step 2: Convert to fraction form
    334.76/722.04 = 722.04/x
  3. Step 3: Cross multiply
    334.76x = 722.04 × 722.04
  4. Step 4: Simplify right side
    334.76x = 521,340.41
  5. Step 5: Solve for x
    x = 521,340.41/334.76
  6. Step 6: Final answer
    x = 1,557.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.