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Finding the Third Proportional to 373.04 and 811.58

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Solution

The third proportional to 373.04 and 811.58 is: 1,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 811.58 = 811.58 : x
  2. Step 2: Convert to fraction form
    373.04/811.58 = 811.58/x
  3. Step 3: Cross multiply
    373.04x = 811.58 × 811.58
  4. Step 4: Simplify right side
    373.04x = 658,665.39
  5. Step 5: Solve for x
    x = 658,665.39/373.04
  6. Step 6: Final answer
    x = 1,765.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.