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Finding the Third Proportional to 228,066 and 485,664

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Solution

The third proportional to 228,066 and 485,664 is: 1,034,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,066 : 485,664 = 485,664 : x
  2. Step 2: Convert to fraction form
    228,066/485,664 = 485,664/x
  3. Step 3: Cross multiply
    228,066x = 485,664 × 485,664
  4. Step 4: Simplify right side
    228,066x = 235,869,520,896
  5. Step 5: Solve for x
    x = 235,869,520,896/228,066
  6. Step 6: Final answer
    x = 1,034,216.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.