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Finding the Third Proportional to 264,171 and 575,484

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Solution

The third proportional to 264,171 and 575,484 is: 1,253,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,171 : 575,484 = 575,484 : x
  2. Step 2: Convert to fraction form
    264,171/575,484 = 575,484/x
  3. Step 3: Cross multiply
    264,171x = 575,484 × 575,484
  4. Step 4: Simplify right side
    264,171x = 331,181,834,256
  5. Step 5: Solve for x
    x = 331,181,834,256/264,171
  6. Step 6: Final answer
    x = 1,253,664.61

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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.