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Finding the Third Proportional to 273,493.75 and 414,018.75

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Solution

The third proportional to 273,493.75 and 414,018.75 is: 626,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,493.75 : 414,018.75 = 414,018.75 : x
  2. Step 2: Convert to fraction form
    273,493.75/414,018.75 = 414,018.75/x
  3. Step 3: Cross multiply
    273,493.75x = 414,018.75 × 414,018.75
  4. Step 4: Simplify right side
    273,493.75x = 171,411,525,351.56
  5. Step 5: Solve for x
    x = 171,411,525,351.56/273,493.75
  6. Step 6: Final answer
    x = 626,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.