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Finding the Third Proportional to 496.02 and 957.87

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Solution

The third proportional to 496.02 and 957.87 is: 1,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 957.87 = 957.87 : x
  2. Step 2: Convert to fraction form
    496.02/957.87 = 957.87/x
  3. Step 3: Cross multiply
    496.02x = 957.87 × 957.87
  4. Step 4: Simplify right side
    496.02x = 917,509.55
  5. Step 5: Solve for x
    x = 917,509.55/496.02
  6. Step 6: Final answer
    x = 1,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.