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Finding the Third Proportional to 253,774.88 and 564,289.69

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Solution

The third proportional to 253,774.88 and 564,289.69 is: 1,254,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,774.88 : 564,289.69 = 564,289.69 : x
  2. Step 2: Convert to fraction form
    253,774.88/564,289.69 = 564,289.69/x
  3. Step 3: Cross multiply
    253,774.88x = 564,289.69 × 564,289.69
  4. Step 4: Simplify right side
    253,774.88x = 318,422,851,418.85
  5. Step 5: Solve for x
    x = 318,422,851,418.85/253,774.88
  6. Step 6: Final answer
    x = 1,254,745.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.