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Finding the Third Proportional to 273,304.50 and 599,259

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Solution

The third proportional to 273,304.50 and 599,259 is: 1,313,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,304.50 : 599,259 = 599,259 : x
  2. Step 2: Convert to fraction form
    273,304.50/599,259 = 599,259/x
  3. Step 3: Cross multiply
    273,304.50x = 599,259 × 599,259
  4. Step 4: Simplify right side
    273,304.50x = 359,111,349,081
  5. Step 5: Solve for x
    x = 359,111,349,081/273,304.50
  6. Step 6: Final answer
    x = 1,313,960.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.