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Finding the Third Proportional to 415.13 and 899.44

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Solution

The third proportional to 415.13 and 899.44 is: 1,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 899.44 = 899.44 : x
  2. Step 2: Convert to fraction form
    415.13/899.44 = 899.44/x
  3. Step 3: Cross multiply
    415.13x = 899.44 × 899.44
  4. Step 4: Simplify right side
    415.13x = 808,987.82
  5. Step 5: Solve for x
    x = 808,987.82/415.13
  6. Step 6: Final answer
    x = 1,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.