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Finding the Third Proportional to 417.18 and 899.86

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Solution

The third proportional to 417.18 and 899.86 is: 1,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.18 : 899.86 = 899.86 : x
  2. Step 2: Convert to fraction form
    417.18/899.86 = 899.86/x
  3. Step 3: Cross multiply
    417.18x = 899.86 × 899.86
  4. Step 4: Simplify right side
    417.18x = 809,746.89
  5. Step 5: Solve for x
    x = 809,746.89/417.18
  6. Step 6: Final answer
    x = 1,940.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.