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Finding the Third Proportional to 216,638.50 and 467,529.50

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Solution

The third proportional to 216,638.50 and 467,529.50 is: 1,008,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,638.50 : 467,529.50 = 467,529.50 : x
  2. Step 2: Convert to fraction form
    216,638.50/467,529.50 = 467,529.50/x
  3. Step 3: Cross multiply
    216,638.50x = 467,529.50 × 467,529.50
  4. Step 4: Simplify right side
    216,638.50x = 218,583,833,370.25
  5. Step 5: Solve for x
    x = 218,583,833,370.25/216,638.50
  6. Step 6: Final answer
    x = 1,008,979.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.