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Finding the Third Proportional to 308,750.63 and 675,821.25

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Solution

The third proportional to 308,750.63 and 675,821.25 is: 1,479,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,750.63 : 675,821.25 = 675,821.25 : x
  2. Step 2: Convert to fraction form
    308,750.63/675,821.25 = 675,821.25/x
  3. Step 3: Cross multiply
    308,750.63x = 675,821.25 × 675,821.25
  4. Step 4: Simplify right side
    308,750.63x = 456,734,361,951.56
  5. Step 5: Solve for x
    x = 456,734,361,951.56/308,750.63
  6. Step 6: Final answer
    x = 1,479,298.58

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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.