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Finding the Third Proportional to 226,524 and 488,512.50

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Solution

The third proportional to 226,524 and 488,512.50 is: 1,053,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,524 : 488,512.50 = 488,512.50 : x
  2. Step 2: Convert to fraction form
    226,524/488,512.50 = 488,512.50/x
  3. Step 3: Cross multiply
    226,524x = 488,512.50 × 488,512.50
  4. Step 4: Simplify right side
    226,524x = 238,644,462,656.25
  5. Step 5: Solve for x
    x = 238,644,462,656.25/226,524
  6. Step 6: Final answer
    x = 1,053,506.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.