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Finding the Third Proportional to 502,741.69 and 1,077,436.69

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Solution

The third proportional to 502,741.69 and 1,077,436.69 is: 2,309,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,741.69 : 1,077,436.69 = 1,077,436.69 : x
  2. Step 2: Convert to fraction form
    502,741.69/1,077,436.69 = 1,077,436.69/x
  3. Step 3: Cross multiply
    502,741.69x = 1,077,436.69 × 1,077,436.69
  4. Step 4: Simplify right side
    502,741.69x = 1,160,869,815,570.97
  5. Step 5: Solve for x
    x = 1,160,869,815,570.97/502,741.69
  6. Step 6: Final answer
    x = 2,309,078.09

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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.