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Finding the Third Proportional to 308,752.50 and 675,824.25

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Solution

The third proportional to 308,752.50 and 675,824.25 is: 1,479,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,752.50 : 675,824.25 = 675,824.25 : x
  2. Step 2: Convert to fraction form
    308,752.50/675,824.25 = 675,824.25/x
  3. Step 3: Cross multiply
    308,752.50x = 675,824.25 × 675,824.25
  4. Step 4: Simplify right side
    308,752.50x = 456,738,416,888.06
  5. Step 5: Solve for x
    x = 456,738,416,888.06/308,752.50
  6. Step 6: Final answer
    x = 1,479,302.73

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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.