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Finding the Third Proportional to 950.63 and 1,509.19

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Solution

The third proportional to 950.63 and 1,509.19 is: 2,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.63 : 1,509.19 = 1,509.19 : x
  2. Step 2: Convert to fraction form
    950.63/1,509.19 = 1,509.19/x
  3. Step 3: Cross multiply
    950.63x = 1,509.19 × 1,509.19
  4. Step 4: Simplify right side
    950.63x = 2,277,646.91
  5. Step 5: Solve for x
    x = 2,277,646.91/950.63
  6. Step 6: Final answer
    x = 2,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.