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Finding the Third Proportional to 594.98 and 892.90

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Solution

The third proportional to 594.98 and 892.90 is: 1,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.98 : 892.90 = 892.90 : x
  2. Step 2: Convert to fraction form
    594.98/892.90 = 892.90/x
  3. Step 3: Cross multiply
    594.98x = 892.90 × 892.90
  4. Step 4: Simplify right side
    594.98x = 797,267.62
  5. Step 5: Solve for x
    x = 797,267.62/594.98
  6. Step 6: Final answer
    x = 1,339.98

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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.