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Finding the Third Proportional to 530.38 and 811.38

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Solution

The third proportional to 530.38 and 811.38 is: 1,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.38 : 811.38 = 811.38 : x
  2. Step 2: Convert to fraction form
    530.38/811.38 = 811.38/x
  3. Step 3: Cross multiply
    530.38x = 811.38 × 811.38
  4. Step 4: Simplify right side
    530.38x = 658,329.39
  5. Step 5: Solve for x
    x = 658,329.39/530.38
  6. Step 6: Final answer
    x = 1,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.