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Finding the Third Proportional to 295,586.72 and 612,192.94

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Solution

The third proportional to 295,586.72 and 612,192.94 is: 1,267,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,586.72 : 612,192.94 = 612,192.94 : x
  2. Step 2: Convert to fraction form
    295,586.72/612,192.94 = 612,192.94/x
  3. Step 3: Cross multiply
    295,586.72x = 612,192.94 × 612,192.94
  4. Step 4: Simplify right side
    295,586.72x = 374,780,192,724.88
  5. Step 5: Solve for x
    x = 374,780,192,724.88/295,586.72
  6. Step 6: Final answer
    x = 1,267,919.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.