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Finding the Third Proportional to 359.07 and 467.60

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Solution

The third proportional to 359.07 and 467.60 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.07 : 467.60 = 467.60 : x
  2. Step 2: Convert to fraction form
    359.07/467.60 = 467.60/x
  3. Step 3: Cross multiply
    359.07x = 467.60 × 467.60
  4. Step 4: Simplify right side
    359.07x = 218,645.74
  5. Step 5: Solve for x
    x = 218,645.74/359.07
  6. Step 6: Final answer
    x = 608.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.