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Finding the Third Proportional to 450 and 707.25

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Solution

The third proportional to 450 and 707.25 is: 1,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 707.25 = 707.25 : x
  2. Step 2: Convert to fraction form
    450/707.25 = 707.25/x
  3. Step 3: Cross multiply
    450x = 707.25 × 707.25
  4. Step 4: Simplify right side
    450x = 500,202.56
  5. Step 5: Solve for x
    x = 500,202.56/450
  6. Step 6: Final answer
    x = 1,111.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.