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Finding the Third Proportional to 215,595 and 468,976.50

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Solution

The third proportional to 215,595 and 468,976.50 is: 1,020,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,595 : 468,976.50 = 468,976.50 : x
  2. Step 2: Convert to fraction form
    215,595/468,976.50 = 468,976.50/x
  3. Step 3: Cross multiply
    215,595x = 468,976.50 × 468,976.50
  4. Step 4: Simplify right side
    215,595x = 219,938,957,552.25
  5. Step 5: Solve for x
    x = 219,938,957,552.25/215,595
  6. Step 6: Final answer
    x = 1,020,148.69

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