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Finding the Third Proportional to 212,586.50 and 462,537.50

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Solution

The third proportional to 212,586.50 and 462,537.50 is: 1,006,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,586.50 : 462,537.50 = 462,537.50 : x
  2. Step 2: Convert to fraction form
    212,586.50/462,537.50 = 462,537.50/x
  3. Step 3: Cross multiply
    212,586.50x = 462,537.50 × 462,537.50
  4. Step 4: Simplify right side
    212,586.50x = 213,940,938,906.25
  5. Step 5: Solve for x
    x = 213,940,938,906.25/212,586.50
  6. Step 6: Final answer
    x = 1,006,371.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.