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Finding the Third Proportional to 532.69 and 847.97

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Solution

The third proportional to 532.69 and 847.97 is: 1,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.69 : 847.97 = 847.97 : x
  2. Step 2: Convert to fraction form
    532.69/847.97 = 847.97/x
  3. Step 3: Cross multiply
    532.69x = 847.97 × 847.97
  4. Step 4: Simplify right side
    532.69x = 719,051.00
  5. Step 5: Solve for x
    x = 719,051.00/532.69
  6. Step 6: Final answer
    x = 1,349.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.