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Finding the Third Proportional to 227,730 and 347,626.50

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Solution

The third proportional to 227,730 and 347,626.50 is: 530,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730 : 347,626.50 = 347,626.50 : x
  2. Step 2: Convert to fraction form
    227,730/347,626.50 = 347,626.50/x
  3. Step 3: Cross multiply
    227,730x = 347,626.50 × 347,626.50
  4. Step 4: Simplify right side
    227,730x = 120,844,183,502.25
  5. Step 5: Solve for x
    x = 120,844,183,502.25/227,730
  6. Step 6: Final answer
    x = 530,646.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.