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Finding the Third Proportional to 401,176.69 and 881,083.69

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Solution

The third proportional to 401,176.69 and 881,083.69 is: 1,935,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,176.69 : 881,083.69 = 881,083.69 : x
  2. Step 2: Convert to fraction form
    401,176.69/881,083.69 = 881,083.69/x
  3. Step 3: Cross multiply
    401,176.69x = 881,083.69 × 881,083.69
  4. Step 4: Simplify right side
    401,176.69x = 776,308,464,378.60
  5. Step 5: Solve for x
    x = 776,308,464,378.60/401,176.69
  6. Step 6: Final answer
    x = 1,935,078.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.