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Finding the Third Proportional to 544,077 and 816,601.50

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Solution

The third proportional to 544,077 and 816,601.50 is: 1,225,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,077 : 816,601.50 = 816,601.50 : x
  2. Step 2: Convert to fraction form
    544,077/816,601.50 = 816,601.50/x
  3. Step 3: Cross multiply
    544,077x = 816,601.50 × 816,601.50
  4. Step 4: Simplify right side
    544,077x = 666,838,009,802.25
  5. Step 5: Solve for x
    x = 666,838,009,802.25/544,077
  6. Step 6: Final answer
    x = 1,225,631.68

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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.