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Finding the Third Proportional to 445,500 and 590,738.06

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Solution

The third proportional to 445,500 and 590,738.06 is: 783,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,500 : 590,738.06 = 590,738.06 : x
  2. Step 2: Convert to fraction form
    445,500/590,738.06 = 590,738.06/x
  3. Step 3: Cross multiply
    445,500x = 590,738.06 × 590,738.06
  4. Step 4: Simplify right side
    445,500x = 348,971,458,486.25
  5. Step 5: Solve for x
    x = 348,971,458,486.25/445,500
  6. Step 6: Final answer
    x = 783,325.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.