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Finding the Third Proportional to 601.34 and 899.60

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Solution

The third proportional to 601.34 and 899.60 is: 1,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 899.60 = 899.60 : x
  2. Step 2: Convert to fraction form
    601.34/899.60 = 899.60/x
  3. Step 3: Cross multiply
    601.34x = 899.60 × 899.60
  4. Step 4: Simplify right side
    601.34x = 809,284.29
  5. Step 5: Solve for x
    x = 809,284.29/601.34
  6. Step 6: Final answer
    x = 1,345.80

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Why These Related Problems?

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