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Finding the Third Proportional to 315,414 and 760,104

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Solution

The third proportional to 315,414 and 760,104 is: 1,831,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,414 : 760,104 = 760,104 : x
  2. Step 2: Convert to fraction form
    315,414/760,104 = 760,104/x
  3. Step 3: Cross multiply
    315,414x = 760,104 × 760,104
  4. Step 4: Simplify right side
    315,414x = 577,758,090,816
  5. Step 5: Solve for x
    x = 577,758,090,816/315,414
  6. Step 6: Final answer
    x = 1,831,745.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.