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Finding the Third Proportional to 448.97 and 716.81

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Solution

The third proportional to 448.97 and 716.81 is: 1,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 716.81 = 716.81 : x
  2. Step 2: Convert to fraction form
    448.97/716.81 = 716.81/x
  3. Step 3: Cross multiply
    448.97x = 716.81 × 716.81
  4. Step 4: Simplify right side
    448.97x = 513,820.16
  5. Step 5: Solve for x
    x = 513,820.16/448.97
  6. Step 6: Final answer
    x = 1,144.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.