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Finding the Third Proportional to 594.56 and 899.44

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Solution

The third proportional to 594.56 and 899.44 is: 1,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 899.44 = 899.44 : x
  2. Step 2: Convert to fraction form
    594.56/899.44 = 899.44/x
  3. Step 3: Cross multiply
    594.56x = 899.44 × 899.44
  4. Step 4: Simplify right side
    594.56x = 808,987.82
  5. Step 5: Solve for x
    x = 808,987.82/594.56
  6. Step 6: Final answer
    x = 1,360.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.