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Finding the Third Proportional to 227,822 and 499,520

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Solution

The third proportional to 227,822 and 499,520 is: 1,095,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822 : 499,520 = 499,520 : x
  2. Step 2: Convert to fraction form
    227,822/499,520 = 499,520/x
  3. Step 3: Cross multiply
    227,822x = 499,520 × 499,520
  4. Step 4: Simplify right side
    227,822x = 249,520,230,400
  5. Step 5: Solve for x
    x = 249,520,230,400/227,822
  6. Step 6: Final answer
    x = 1,095,242.03

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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.