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Finding the Third Proportional to 273,009 and 413,329.50

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Solution

The third proportional to 273,009 and 413,329.50 is: 625,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,009 : 413,329.50 = 413,329.50 : x
  2. Step 2: Convert to fraction form
    273,009/413,329.50 = 413,329.50/x
  3. Step 3: Cross multiply
    273,009x = 413,329.50 × 413,329.50
  4. Step 4: Simplify right side
    273,009x = 170,841,275,570.25
  5. Step 5: Solve for x
    x = 170,841,275,570.25/273,009
  6. Step 6: Final answer
    x = 625,771.59

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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.