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Finding the Third Proportional to 335.31 and 510.44

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Solution

The third proportional to 335.31 and 510.44 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 510.44 = 510.44 : x
  2. Step 2: Convert to fraction form
    335.31/510.44 = 510.44/x
  3. Step 3: Cross multiply
    335.31x = 510.44 × 510.44
  4. Step 4: Simplify right side
    335.31x = 260,551.43
  5. Step 5: Solve for x
    x = 260,551.43/335.31
  6. Step 6: Final answer
    x = 777.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.