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Finding the Third Proportional to 351,356.25 and 781,309.50

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Solution

The third proportional to 351,356.25 and 781,309.50 is: 1,737,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,356.25 : 781,309.50 = 781,309.50 : x
  2. Step 2: Convert to fraction form
    351,356.25/781,309.50 = 781,309.50/x
  3. Step 3: Cross multiply
    351,356.25x = 781,309.50 × 781,309.50
  4. Step 4: Simplify right side
    351,356.25x = 610,444,534,790.25
  5. Step 5: Solve for x
    x = 610,444,534,790.25/351,356.25
  6. Step 6: Final answer
    x = 1,737,394.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.