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Finding the Third Proportional to 227,907 and 499,551

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Solution

The third proportional to 227,907 and 499,551 is: 1,094,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907 : 499,551 = 499,551 : x
  2. Step 2: Convert to fraction form
    227,907/499,551 = 499,551/x
  3. Step 3: Cross multiply
    227,907x = 499,551 × 499,551
  4. Step 4: Simplify right side
    227,907x = 249,551,201,601
  5. Step 5: Solve for x
    x = 249,551,201,601/227,907
  6. Step 6: Final answer
    x = 1,094,969.45

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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.