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Finding the Third Proportional to 252,745.87 and 550,124.47

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Solution

The third proportional to 252,745.87 and 550,124.47 is: 1,197,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,745.87 : 550,124.47 = 550,124.47 : x
  2. Step 2: Convert to fraction form
    252,745.87/550,124.47 = 550,124.47/x
  3. Step 3: Cross multiply
    252,745.87x = 550,124.47 × 550,124.47
  4. Step 4: Simplify right side
    252,745.87x = 302,636,935,415.32
  5. Step 5: Solve for x
    x = 302,636,935,415.32/252,745.87
  6. Step 6: Final answer
    x = 1,197,396.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.