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Finding the Third Proportional to 359.06 and 775.44

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Solution

The third proportional to 359.06 and 775.44 is: 1,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 775.44 = 775.44 : x
  2. Step 2: Convert to fraction form
    359.06/775.44 = 775.44/x
  3. Step 3: Cross multiply
    359.06x = 775.44 × 775.44
  4. Step 4: Simplify right side
    359.06x = 601,303.32
  5. Step 5: Solve for x
    x = 601,303.32/359.06
  6. Step 6: Final answer
    x = 1,674.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.