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Finding the Third Proportional to 677,895.50 and 899,668

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Solution

The third proportional to 677,895.50 and 899,668 is: 1,193,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,895.50 : 899,668 = 899,668 : x
  2. Step 2: Convert to fraction form
    677,895.50/899,668 = 899,668/x
  3. Step 3: Cross multiply
    677,895.50x = 899,668 × 899,668
  4. Step 4: Simplify right side
    677,895.50x = 809,402,510,224
  5. Step 5: Solve for x
    x = 809,402,510,224/677,895.50
  6. Step 6: Final answer
    x = 1,193,993.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.