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Finding the Third Proportional to 415,611.50 and 894,790.50

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Solution

The third proportional to 415,611.50 and 894,790.50 is: 1,926,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,611.50 : 894,790.50 = 894,790.50 : x
  2. Step 2: Convert to fraction form
    415,611.50/894,790.50 = 894,790.50/x
  3. Step 3: Cross multiply
    415,611.50x = 894,790.50 × 894,790.50
  4. Step 4: Simplify right side
    415,611.50x = 800,650,038,890.25
  5. Step 5: Solve for x
    x = 800,650,038,890.25/415,611.50
  6. Step 6: Final answer
    x = 1,926,438.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.