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Finding the Third Proportional to 364.13 and 790.13

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Solution

The third proportional to 364.13 and 790.13 is: 1,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 790.13 = 790.13 : x
  2. Step 2: Convert to fraction form
    364.13/790.13 = 790.13/x
  3. Step 3: Cross multiply
    364.13x = 790.13 × 790.13
  4. Step 4: Simplify right side
    364.13x = 624,297.52
  5. Step 5: Solve for x
    x = 624,297.52/364.13
  6. Step 6: Final answer
    x = 1,714.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.