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Finding the Third Proportional to 226,584 and 529,200

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Solution

The third proportional to 226,584 and 529,200 is: 1,235,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,584 : 529,200 = 529,200 : x
  2. Step 2: Convert to fraction form
    226,584/529,200 = 529,200/x
  3. Step 3: Cross multiply
    226,584x = 529,200 × 529,200
  4. Step 4: Simplify right side
    226,584x = 280,052,640,000
  5. Step 5: Solve for x
    x = 280,052,640,000/226,584
  6. Step 6: Final answer
    x = 1,235,977.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.