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Finding the Third Proportional to 367.45 and 530.93

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Solution

The third proportional to 367.45 and 530.93 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.45 : 530.93 = 530.93 : x
  2. Step 2: Convert to fraction form
    367.45/530.93 = 530.93/x
  3. Step 3: Cross multiply
    367.45x = 530.93 × 530.93
  4. Step 4: Simplify right side
    367.45x = 281,886.33
  5. Step 5: Solve for x
    x = 281,886.33/367.45
  6. Step 6: Final answer
    x = 767.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.