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Finding the Third Proportional to 567,666 and 851,580

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Solution

The third proportional to 567,666 and 851,580 is: 1,277,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,666 : 851,580 = 851,580 : x
  2. Step 2: Convert to fraction form
    567,666/851,580 = 851,580/x
  3. Step 3: Cross multiply
    567,666x = 851,580 × 851,580
  4. Step 4: Simplify right side
    567,666x = 725,188,496,400
  5. Step 5: Solve for x
    x = 725,188,496,400/567,666
  6. Step 6: Final answer
    x = 1,277,491.51

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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.