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Finding the Third Proportional to 359.34 and 564.64

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Solution

The third proportional to 359.34 and 564.64 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 564.64 = 564.64 : x
  2. Step 2: Convert to fraction form
    359.34/564.64 = 564.64/x
  3. Step 3: Cross multiply
    359.34x = 564.64 × 564.64
  4. Step 4: Simplify right side
    359.34x = 318,814.76
  5. Step 5: Solve for x
    x = 318,814.76/359.34
  6. Step 6: Final answer
    x = 887.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.