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Finding the Third Proportional to 227,829 and 499,536

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Solution

The third proportional to 227,829 and 499,536 is: 1,095,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,829 : 499,536 = 499,536 : x
  2. Step 2: Convert to fraction form
    227,829/499,536 = 499,536/x
  3. Step 3: Cross multiply
    227,829x = 499,536 × 499,536
  4. Step 4: Simplify right side
    227,829x = 249,536,215,296
  5. Step 5: Solve for x
    x = 249,536,215,296/227,829
  6. Step 6: Final answer
    x = 1,095,278.54

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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.