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Finding the Third Proportional to 264,114 and 575,385

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Solution

The third proportional to 264,114 and 575,385 is: 1,253,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,114 : 575,385 = 575,385 : x
  2. Step 2: Convert to fraction form
    264,114/575,385 = 575,385/x
  3. Step 3: Cross multiply
    264,114x = 575,385 × 575,385
  4. Step 4: Simplify right side
    264,114x = 331,067,898,225
  5. Step 5: Solve for x
    x = 331,067,898,225/264,114
  6. Step 6: Final answer
    x = 1,253,503.78

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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.