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Finding the Third Proportional to 641.53 and 712.13

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Solution

The third proportional to 641.53 and 712.13 is: 790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 712.13 = 712.13 : x
  2. Step 2: Convert to fraction form
    641.53/712.13 = 712.13/x
  3. Step 3: Cross multiply
    641.53x = 712.13 × 712.13
  4. Step 4: Simplify right side
    641.53x = 507,122.02
  5. Step 5: Solve for x
    x = 507,122.02/641.53
  6. Step 6: Final answer
    x = 790.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.