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Finding the Third Proportional to 315,019.13 and 475,100.44

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Solution

The third proportional to 315,019.13 and 475,100.44 is: 716,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,019.13 : 475,100.44 = 475,100.44 : x
  2. Step 2: Convert to fraction form
    315,019.13/475,100.44 = 475,100.44/x
  3. Step 3: Cross multiply
    315,019.13x = 475,100.44 × 475,100.44
  4. Step 4: Simplify right side
    315,019.13x = 225,720,425,712.69
  5. Step 5: Solve for x
    x = 225,720,425,712.69/315,019.13
  6. Step 6: Final answer
    x = 716,529.28

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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.