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Finding the Third Proportional to 228,469 and 502,487

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Solution

The third proportional to 228,469 and 502,487 is: 1,105,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,469 : 502,487 = 502,487 : x
  2. Step 2: Convert to fraction form
    228,469/502,487 = 502,487/x
  3. Step 3: Cross multiply
    228,469x = 502,487 × 502,487
  4. Step 4: Simplify right side
    228,469x = 252,493,185,169
  5. Step 5: Solve for x
    x = 252,493,185,169/228,469
  6. Step 6: Final answer
    x = 1,105,152.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.