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Finding the Third Proportional to 456.19 and 693.56

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Solution

The third proportional to 456.19 and 693.56 is: 1,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 693.56 = 693.56 : x
  2. Step 2: Convert to fraction form
    456.19/693.56 = 693.56/x
  3. Step 3: Cross multiply
    456.19x = 693.56 × 693.56
  4. Step 4: Simplify right side
    456.19x = 481,028.94
  5. Step 5: Solve for x
    x = 481,028.94/456.19
  6. Step 6: Final answer
    x = 1,054.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.