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Finding the Third Proportional to 315,026 and 475,110

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Solution

The third proportional to 315,026 and 475,110 is: 716,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,026 : 475,110 = 475,110 : x
  2. Step 2: Convert to fraction form
    315,026/475,110 = 475,110/x
  3. Step 3: Cross multiply
    315,026x = 475,110 × 475,110
  4. Step 4: Simplify right side
    315,026x = 225,729,512,100
  5. Step 5: Solve for x
    x = 225,729,512,100/315,026
  6. Step 6: Final answer
    x = 716,542.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.