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Finding the Third Proportional to 227,880 and 502,416

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Solution

The third proportional to 227,880 and 502,416 is: 1,107,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,880 : 502,416 = 502,416 : x
  2. Step 2: Convert to fraction form
    227,880/502,416 = 502,416/x
  3. Step 3: Cross multiply
    227,880x = 502,416 × 502,416
  4. Step 4: Simplify right side
    227,880x = 252,421,837,056
  5. Step 5: Solve for x
    x = 252,421,837,056/227,880
  6. Step 6: Final answer
    x = 1,107,696.32

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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.