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Finding the Third Proportional to 227,008 and 488,656

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Solution

The third proportional to 227,008 and 488,656 is: 1,051,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,008 : 488,656 = 488,656 : x
  2. Step 2: Convert to fraction form
    227,008/488,656 = 488,656/x
  3. Step 3: Cross multiply
    227,008x = 488,656 × 488,656
  4. Step 4: Simplify right side
    227,008x = 238,784,686,336
  5. Step 5: Solve for x
    x = 238,784,686,336/227,008
  6. Step 6: Final answer
    x = 1,051,877.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.