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Finding the Third Proportional to 567,674 and 851,595

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Solution

The third proportional to 567,674 and 851,595 is: 1,277,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,674 : 851,595 = 851,595 : x
  2. Step 2: Convert to fraction form
    567,674/851,595 = 851,595/x
  3. Step 3: Cross multiply
    567,674x = 851,595 × 851,595
  4. Step 4: Simplify right side
    567,674x = 725,214,044,025
  5. Step 5: Solve for x
    x = 725,214,044,025/567,674
  6. Step 6: Final answer
    x = 1,277,518.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.