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Finding the Third Proportional to 275,948 and 415,536

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Solution

The third proportional to 275,948 and 415,536 is: 625,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,948 : 415,536 = 415,536 : x
  2. Step 2: Convert to fraction form
    275,948/415,536 = 415,536/x
  3. Step 3: Cross multiply
    275,948x = 415,536 × 415,536
  4. Step 4: Simplify right side
    275,948x = 172,670,167,296
  5. Step 5: Solve for x
    x = 172,670,167,296/275,948
  6. Step 6: Final answer
    x = 625,734.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.