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Finding the Third Proportional to 354,906 and 550,588.50

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Solution

The third proportional to 354,906 and 550,588.50 is: 854,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906 : 550,588.50 = 550,588.50 : x
  2. Step 2: Convert to fraction form
    354,906/550,588.50 = 550,588.50/x
  3. Step 3: Cross multiply
    354,906x = 550,588.50 × 550,588.50
  4. Step 4: Simplify right side
    354,906x = 303,147,696,332.25
  5. Step 5: Solve for x
    x = 303,147,696,332.25/354,906
  6. Step 6: Final answer
    x = 854,163.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.