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Finding the Third Proportional to 350,628.75 and 767,768.63

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Solution

The third proportional to 350,628.75 and 767,768.63 is: 1,681,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,628.75 : 767,768.63 = 767,768.63 : x
  2. Step 2: Convert to fraction form
    350,628.75/767,768.63 = 767,768.63/x
  3. Step 3: Cross multiply
    350,628.75x = 767,768.63 × 767,768.63
  4. Step 4: Simplify right side
    350,628.75x = 589,468,661,534.39
  5. Step 5: Solve for x
    x = 589,468,661,534.39/350,628.75
  6. Step 6: Final answer
    x = 1,681,176.06

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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.