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Finding the Third Proportional to 562.36 and 845.02

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Solution

The third proportional to 562.36 and 845.02 is: 1,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 845.02 = 845.02 : x
  2. Step 2: Convert to fraction form
    562.36/845.02 = 845.02/x
  3. Step 3: Cross multiply
    562.36x = 845.02 × 845.02
  4. Step 4: Simplify right side
    562.36x = 714,051.41
  5. Step 5: Solve for x
    x = 714,051.41/562.36
  6. Step 6: Final answer
    x = 1,269.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.