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Finding the Third Proportional to 449.75 and 661.75

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Solution

The third proportional to 449.75 and 661.75 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 661.75 = 661.75 : x
  2. Step 2: Convert to fraction form
    449.75/661.75 = 661.75/x
  3. Step 3: Cross multiply
    449.75x = 661.75 × 661.75
  4. Step 4: Simplify right side
    449.75x = 437,913.06
  5. Step 5: Solve for x
    x = 437,913.06/449.75
  6. Step 6: Final answer
    x = 973.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.