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Finding the Third Proportional to 262,107 and 616,099.50

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Solution

The third proportional to 262,107 and 616,099.50 is: 1,448,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,107 : 616,099.50 = 616,099.50 : x
  2. Step 2: Convert to fraction form
    262,107/616,099.50 = 616,099.50/x
  3. Step 3: Cross multiply
    262,107x = 616,099.50 × 616,099.50
  4. Step 4: Simplify right side
    262,107x = 379,578,593,900.25
  5. Step 5: Solve for x
    x = 379,578,593,900.25/262,107
  6. Step 6: Final answer
    x = 1,448,181.83

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.