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Finding the Third Proportional to 273,054.50 and 598,597.25

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Solution

The third proportional to 273,054.50 and 598,597.25 is: 1,312,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,054.50 : 598,597.25 = 598,597.25 : x
  2. Step 2: Convert to fraction form
    273,054.50/598,597.25 = 598,597.25/x
  3. Step 3: Cross multiply
    273,054.50x = 598,597.25 × 598,597.25
  4. Step 4: Simplify right side
    273,054.50x = 358,318,667,707.56
  5. Step 5: Solve for x
    x = 358,318,667,707.56/273,054.50
  6. Step 6: Final answer
    x = 1,312,260.62

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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.