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Finding the Third Proportional to 359.94 and 783.97

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Solution

The third proportional to 359.94 and 783.97 is: 1,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.94 : 783.97 = 783.97 : x
  2. Step 2: Convert to fraction form
    359.94/783.97 = 783.97/x
  3. Step 3: Cross multiply
    359.94x = 783.97 × 783.97
  4. Step 4: Simplify right side
    359.94x = 614,607.00
  5. Step 5: Solve for x
    x = 614,607.00/359.94
  6. Step 6: Final answer
    x = 1,707.54

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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.