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Finding the Third Proportional to 211,437 and 300,631.50

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Solution

The third proportional to 211,437 and 300,631.50 is: 427,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,437 : 300,631.50 = 300,631.50 : x
  2. Step 2: Convert to fraction form
    211,437/300,631.50 = 300,631.50/x
  3. Step 3: Cross multiply
    211,437x = 300,631.50 × 300,631.50
  4. Step 4: Simplify right side
    211,437x = 90,379,298,792.25
  5. Step 5: Solve for x
    x = 90,379,298,792.25/211,437
  6. Step 6: Final answer
    x = 427,452.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.