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Finding the Third Proportional to 437.34 and 677.53

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Solution

The third proportional to 437.34 and 677.53 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 677.53 = 677.53 : x
  2. Step 2: Convert to fraction form
    437.34/677.53 = 677.53/x
  3. Step 3: Cross multiply
    437.34x = 677.53 × 677.53
  4. Step 4: Simplify right side
    437.34x = 459,048.59
  5. Step 5: Solve for x
    x = 459,048.59/437.34
  6. Step 6: Final answer
    x = 1,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.