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Finding the Third Proportional to 350,078 and 767,926

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Solution

The third proportional to 350,078 and 767,926 is: 1,684,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,078 : 767,926 = 767,926 : x
  2. Step 2: Convert to fraction form
    350,078/767,926 = 767,926/x
  3. Step 3: Cross multiply
    350,078x = 767,926 × 767,926
  4. Step 4: Simplify right side
    350,078x = 589,710,341,476
  5. Step 5: Solve for x
    x = 589,710,341,476/350,078
  6. Step 6: Final answer
    x = 1,684,511.28

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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.