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Finding the Third Proportional to 430,634.25 and 927,074.25

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Solution

The third proportional to 430,634.25 and 927,074.25 is: 1,995,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,634.25 : 927,074.25 = 927,074.25 : x
  2. Step 2: Convert to fraction form
    430,634.25/927,074.25 = 927,074.25/x
  3. Step 3: Cross multiply
    430,634.25x = 927,074.25 × 927,074.25
  4. Step 4: Simplify right side
    430,634.25x = 859,466,665,013.06
  5. Step 5: Solve for x
    x = 859,466,665,013.06/430,634.25
  6. Step 6: Final answer
    x = 1,995,815.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.