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Finding the Third Proportional to 430,859.25 and 681,927.75

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Solution

The third proportional to 430,859.25 and 681,927.75 is: 1,079,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,859.25 : 681,927.75 = 681,927.75 : x
  2. Step 2: Convert to fraction form
    430,859.25/681,927.75 = 681,927.75/x
  3. Step 3: Cross multiply
    430,859.25x = 681,927.75 × 681,927.75
  4. Step 4: Simplify right side
    430,859.25x = 465,025,456,220.06
  5. Step 5: Solve for x
    x = 465,025,456,220.06/430,859.25
  6. Step 6: Final answer
    x = 1,079,297.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.