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Finding the Third Proportional to 465,715 and 700,879

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Solution

The third proportional to 465,715 and 700,879 is: 1,054,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,715 : 700,879 = 700,879 : x
  2. Step 2: Convert to fraction form
    465,715/700,879 = 700,879/x
  3. Step 3: Cross multiply
    465,715x = 700,879 × 700,879
  4. Step 4: Simplify right side
    465,715x = 491,231,372,641
  5. Step 5: Solve for x
    x = 491,231,372,641/465,715
  6. Step 6: Final answer
    x = 1,054,789.67

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