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Finding the Third Proportional to 273,490.50 and 414,009

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Solution

The third proportional to 273,490.50 and 414,009 is: 626,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,490.50 : 414,009 = 414,009 : x
  2. Step 2: Convert to fraction form
    273,490.50/414,009 = 414,009/x
  3. Step 3: Cross multiply
    273,490.50x = 414,009 × 414,009
  4. Step 4: Simplify right side
    273,490.50x = 171,403,452,081
  5. Step 5: Solve for x
    x = 171,403,452,081/273,490.50
  6. Step 6: Final answer
    x = 626,725.43

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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.