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Finding the Third Proportional to 401,537.25 and 869,226.19

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Solution

The third proportional to 401,537.25 and 869,226.19 is: 1,881,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,537.25 : 869,226.19 = 869,226.19 : x
  2. Step 2: Convert to fraction form
    401,537.25/869,226.19 = 869,226.19/x
  3. Step 3: Cross multiply
    401,537.25x = 869,226.19 × 869,226.19
  4. Step 4: Simplify right side
    401,537.25x = 755,554,165,035.79
  5. Step 5: Solve for x
    x = 755,554,165,035.79/401,537.25
  6. Step 6: Final answer
    x = 1,881,653.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.