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Finding the Third Proportional to 373.69 and 810.19

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Solution

The third proportional to 373.69 and 810.19 is: 1,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.69 : 810.19 = 810.19 : x
  2. Step 2: Convert to fraction form
    373.69/810.19 = 810.19/x
  3. Step 3: Cross multiply
    373.69x = 810.19 × 810.19
  4. Step 4: Simplify right side
    373.69x = 656,403.79
  5. Step 5: Solve for x
    x = 656,403.79/373.69
  6. Step 6: Final answer
    x = 1,756.56

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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.