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Finding the Third Proportional to 289,853.44 and 627,957.56

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Solution

The third proportional to 289,853.44 and 627,957.56 is: 1,360,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,853.44 : 627,957.56 = 627,957.56 : x
  2. Step 2: Convert to fraction form
    289,853.44/627,957.56 = 627,957.56/x
  3. Step 3: Cross multiply
    289,853.44x = 627,957.56 × 627,957.56
  4. Step 4: Simplify right side
    289,853.44x = 394,330,700,300.94
  5. Step 5: Solve for x
    x = 394,330,700,300.94/289,853.44
  6. Step 6: Final answer
    x = 1,360,448.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.