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Finding the Third Proportional to 215,596.50 and 468,944.25

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Solution

The third proportional to 215,596.50 and 468,944.25 is: 1,020,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,596.50 : 468,944.25 = 468,944.25 : x
  2. Step 2: Convert to fraction form
    215,596.50/468,944.25 = 468,944.25/x
  3. Step 3: Cross multiply
    215,596.50x = 468,944.25 × 468,944.25
  4. Step 4: Simplify right side
    215,596.50x = 219,908,709,608.06
  5. Step 5: Solve for x
    x = 219,908,709,608.06/215,596.50
  6. Step 6: Final answer
    x = 1,020,001.30

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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.