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Finding the Third Proportional to 405,695.25 and 867,672.84

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Solution

The third proportional to 405,695.25 and 867,672.84 is: 1,855,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,695.25 : 867,672.84 = 867,672.84 : x
  2. Step 2: Convert to fraction form
    405,695.25/867,672.84 = 867,672.84/x
  3. Step 3: Cross multiply
    405,695.25x = 867,672.84 × 867,672.84
  4. Step 4: Simplify right side
    405,695.25x = 752,856,163,781.21
  5. Step 5: Solve for x
    x = 752,856,163,781.21/405,695.25
  6. Step 6: Final answer
    x = 1,855,718.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.