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Finding the Third Proportional to 544,029 and 816,517.50

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Solution

The third proportional to 544,029 and 816,517.50 is: 1,225,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,029 : 816,517.50 = 816,517.50 : x
  2. Step 2: Convert to fraction form
    544,029/816,517.50 = 816,517.50/x
  3. Step 3: Cross multiply
    544,029x = 816,517.50 × 816,517.50
  4. Step 4: Simplify right side
    544,029x = 666,700,827,806.25
  5. Step 5: Solve for x
    x = 666,700,827,806.25/544,029
  6. Step 6: Final answer
    x = 1,225,487.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.