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Finding the Third Proportional to 350,610 and 767,916

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Solution

The third proportional to 350,610 and 767,916 is: 1,681,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,610 : 767,916 = 767,916 : x
  2. Step 2: Convert to fraction form
    350,610/767,916 = 767,916/x
  3. Step 3: Cross multiply
    350,610x = 767,916 × 767,916
  4. Step 4: Simplify right side
    350,610x = 589,694,983,056
  5. Step 5: Solve for x
    x = 589,694,983,056/350,610
  6. Step 6: Final answer
    x = 1,681,911.48

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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.