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Finding the Third Proportional to 321,768.50 and 436,508.25

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Solution

The third proportional to 321,768.50 and 436,508.25 is: 592,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,768.50 : 436,508.25 = 436,508.25 : x
  2. Step 2: Convert to fraction form
    321,768.50/436,508.25 = 436,508.25/x
  3. Step 3: Cross multiply
    321,768.50x = 436,508.25 × 436,508.25
  4. Step 4: Simplify right side
    321,768.50x = 190,539,452,318.06
  5. Step 5: Solve for x
    x = 190,539,452,318.06/321,768.50
  6. Step 6: Final answer
    x = 592,163.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.