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Finding the Third Proportional to 386,069 and 586,975

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Solution

The third proportional to 386,069 and 586,975 is: 892,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,069 : 586,975 = 586,975 : x
  2. Step 2: Convert to fraction form
    386,069/586,975 = 586,975/x
  3. Step 3: Cross multiply
    386,069x = 586,975 × 586,975
  4. Step 4: Simplify right side
    386,069x = 344,539,650,625
  5. Step 5: Solve for x
    x = 344,539,650,625/386,069
  6. Step 6: Final answer
    x = 892,430.24

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.