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Finding the Third Proportional to 350,077 and 767,925

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Solution

The third proportional to 350,077 and 767,925 is: 1,684,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,077 : 767,925 = 767,925 : x
  2. Step 2: Convert to fraction form
    350,077/767,925 = 767,925/x
  3. Step 3: Cross multiply
    350,077x = 767,925 × 767,925
  4. Step 4: Simplify right side
    350,077x = 589,708,805,625
  5. Step 5: Solve for x
    x = 589,708,805,625/350,077
  6. Step 6: Final answer
    x = 1,684,511.71

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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.