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Finding the Third Proportional to 448.78 and 986.06

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Solution

The third proportional to 448.78 and 986.06 is: 2,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.78 : 986.06 = 986.06 : x
  2. Step 2: Convert to fraction form
    448.78/986.06 = 986.06/x
  3. Step 3: Cross multiply
    448.78x = 986.06 × 986.06
  4. Step 4: Simplify right side
    448.78x = 972,319.25
  5. Step 5: Solve for x
    x = 972,319.25/448.78
  6. Step 6: Final answer
    x = 2,166.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.