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Finding the Third Proportional to 221,796 and 347,479.50

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Solution

The third proportional to 221,796 and 347,479.50 is: 544,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,796 : 347,479.50 = 347,479.50 : x
  2. Step 2: Convert to fraction form
    221,796/347,479.50 = 347,479.50/x
  3. Step 3: Cross multiply
    221,796x = 347,479.50 × 347,479.50
  4. Step 4: Simplify right side
    221,796x = 120,742,002,920.25
  5. Step 5: Solve for x
    x = 120,742,002,920.25/221,796
  6. Step 6: Final answer
    x = 544,383.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.