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Finding the Third Proportional to 273,488 and 414,005

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Solution

The third proportional to 273,488 and 414,005 is: 626,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,488 : 414,005 = 414,005 : x
  2. Step 2: Convert to fraction form
    273,488/414,005 = 414,005/x
  3. Step 3: Cross multiply
    273,488x = 414,005 × 414,005
  4. Step 4: Simplify right side
    273,488x = 171,400,140,025
  5. Step 5: Solve for x
    x = 171,400,140,025/273,488
  6. Step 6: Final answer
    x = 626,719.05

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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.