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Finding the Third Proportional to 264,124 and 575,404

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Solution

The third proportional to 264,124 and 575,404 is: 1,253,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,124 : 575,404 = 575,404 : x
  2. Step 2: Convert to fraction form
    264,124/575,404 = 575,404/x
  3. Step 3: Cross multiply
    264,124x = 575,404 × 575,404
  4. Step 4: Simplify right side
    264,124x = 331,089,763,216
  5. Step 5: Solve for x
    x = 331,089,763,216/264,124
  6. Step 6: Final answer
    x = 1,253,539.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.