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Finding the Third Proportional to 228,619 and 500,827

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Solution

The third proportional to 228,619 and 500,827 is: 1,097,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,619 : 500,827 = 500,827 : x
  2. Step 2: Convert to fraction form
    228,619/500,827 = 500,827/x
  3. Step 3: Cross multiply
    228,619x = 500,827 × 500,827
  4. Step 4: Simplify right side
    228,619x = 250,827,683,929
  5. Step 5: Solve for x
    x = 250,827,683,929/228,619
  6. Step 6: Final answer
    x = 1,097,142.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.