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Finding the Third Proportional to 984.88 and 1,477.38

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Solution

The third proportional to 984.88 and 1,477.38 is: 2,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.88 : 1,477.38 = 1,477.38 : x
  2. Step 2: Convert to fraction form
    984.88/1,477.38 = 1,477.38/x
  3. Step 3: Cross multiply
    984.88x = 1,477.38 × 1,477.38
  4. Step 4: Simplify right side
    984.88x = 2,182,636.89
  5. Step 5: Solve for x
    x = 2,182,636.89/984.88
  6. Step 6: Final answer
    x = 2,216.16

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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.