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Finding the Third Proportional to 225,039.94 and 488,718.56

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Solution

The third proportional to 225,039.94 and 488,718.56 is: 1,061,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,039.94 : 488,718.56 = 488,718.56 : x
  2. Step 2: Convert to fraction form
    225,039.94/488,718.56 = 488,718.56/x
  3. Step 3: Cross multiply
    225,039.94x = 488,718.56 × 488,718.56
  4. Step 4: Simplify right side
    225,039.94x = 238,845,833,332.07
  5. Step 5: Solve for x
    x = 238,845,833,332.07/225,039.94
  6. Step 6: Final answer
    x = 1,061,348.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.