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Finding the Third Proportional to 288,611.44 and 619,255.13

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Solution

The third proportional to 288,611.44 and 619,255.13 is: 1,328,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,611.44 : 619,255.13 = 619,255.13 : x
  2. Step 2: Convert to fraction form
    288,611.44/619,255.13 = 619,255.13/x
  3. Step 3: Cross multiply
    288,611.44x = 619,255.13 × 619,255.13
  4. Step 4: Simplify right side
    288,611.44x = 383,476,909,838.77
  5. Step 5: Solve for x
    x = 383,476,909,838.77/288,611.44
  6. Step 6: Final answer
    x = 1,328,696.16

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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.