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Finding the Third Proportional to 273,693.94 and 410,130.84

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Solution

The third proportional to 273,693.94 and 410,130.84 is: 614,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,693.94 : 410,130.84 = 410,130.84 : x
  2. Step 2: Convert to fraction form
    273,693.94/410,130.84 = 410,130.84/x
  3. Step 3: Cross multiply
    273,693.94x = 410,130.84 × 410,130.84
  4. Step 4: Simplify right side
    273,693.94x = 168,207,308,995.09
  5. Step 5: Solve for x
    x = 168,207,308,995.09/273,693.94
  6. Step 6: Final answer
    x = 614,581.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.