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Finding the Third Proportional to 227,808 and 499,494

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Solution

The third proportional to 227,808 and 499,494 is: 1,095,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,808 : 499,494 = 499,494 : x
  2. Step 2: Convert to fraction form
    227,808/499,494 = 499,494/x
  3. Step 3: Cross multiply
    227,808x = 499,494 × 499,494
  4. Step 4: Simplify right side
    227,808x = 249,494,256,036
  5. Step 5: Solve for x
    x = 249,494,256,036/227,808
  6. Step 6: Final answer
    x = 1,095,195.32

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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.