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Finding the Third Proportional to 281,460.94 and 414,745.88

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Solution

The third proportional to 281,460.94 and 414,745.88 is: 611,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,460.94 : 414,745.88 = 414,745.88 : x
  2. Step 2: Convert to fraction form
    281,460.94/414,745.88 = 414,745.88/x
  3. Step 3: Cross multiply
    281,460.94x = 414,745.88 × 414,745.88
  4. Step 4: Simplify right side
    281,460.94x = 172,014,140,829.52
  5. Step 5: Solve for x
    x = 172,014,140,829.52/281,460.94
  6. Step 6: Final answer
    x = 611,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.