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Finding the Third Proportional to 212,562 and 325,539

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Solution

The third proportional to 212,562 and 325,539 is: 498,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,562 : 325,539 = 325,539 : x
  2. Step 2: Convert to fraction form
    212,562/325,539 = 325,539/x
  3. Step 3: Cross multiply
    212,562x = 325,539 × 325,539
  4. Step 4: Simplify right side
    212,562x = 105,975,640,521
  5. Step 5: Solve for x
    x = 105,975,640,521/212,562
  6. Step 6: Final answer
    x = 498,563.43

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Why These Related Problems?

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