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Finding the Third Proportional to 227,952 and 494,541

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Solution

The third proportional to 227,952 and 494,541 is: 1,072,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,952 : 494,541 = 494,541 : x
  2. Step 2: Convert to fraction form
    227,952/494,541 = 494,541/x
  3. Step 3: Cross multiply
    227,952x = 494,541 × 494,541
  4. Step 4: Simplify right side
    227,952x = 244,570,800,681
  5. Step 5: Solve for x
    x = 244,570,800,681/227,952
  6. Step 6: Final answer
    x = 1,072,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.