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Finding the Third Proportional to 509.63 and 766.13

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Solution

The third proportional to 509.63 and 766.13 is: 1,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 766.13 = 766.13 : x
  2. Step 2: Convert to fraction form
    509.63/766.13 = 766.13/x
  3. Step 3: Cross multiply
    509.63x = 766.13 × 766.13
  4. Step 4: Simplify right side
    509.63x = 586,947.52
  5. Step 5: Solve for x
    x = 586,947.52/509.63
  6. Step 6: Final answer
    x = 1,151.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.