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Finding the Third Proportional to 483.61 and 1,054.03

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Solution

The third proportional to 483.61 and 1,054.03 is: 2,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.61 : 1,054.03 = 1,054.03 : x
  2. Step 2: Convert to fraction form
    483.61/1,054.03 = 1,054.03/x
  3. Step 3: Cross multiply
    483.61x = 1,054.03 × 1,054.03
  4. Step 4: Simplify right side
    483.61x = 1,110,981.88
  5. Step 5: Solve for x
    x = 1,110,981.88/483.61
  6. Step 6: Final answer
    x = 2,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.