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Finding the Third Proportional to 450 and 510.75

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Solution

The third proportional to 450 and 510.75 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 510.75 = 510.75 : x
  2. Step 2: Convert to fraction form
    450/510.75 = 510.75/x
  3. Step 3: Cross multiply
    450x = 510.75 × 510.75
  4. Step 4: Simplify right side
    450x = 260,865.56
  5. Step 5: Solve for x
    x = 260,865.56/450
  6. Step 6: Final answer
    x = 579.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.