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Finding the Third Proportional to 440.86 and 1,044.35

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Solution

The third proportional to 440.86 and 1,044.35 is: 2,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.86 : 1,044.35 = 1,044.35 : x
  2. Step 2: Convert to fraction form
    440.86/1,044.35 = 1,044.35/x
  3. Step 3: Cross multiply
    440.86x = 1,044.35 × 1,044.35
  4. Step 4: Simplify right side
    440.86x = 1,090,670.19
  5. Step 5: Solve for x
    x = 1,090,670.19/440.86
  6. Step 6: Final answer
    x = 2,473.96

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.