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Finding the Third Proportional to 210,532 and 467,720

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Solution

The third proportional to 210,532 and 467,720 is: 1,039,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,532 : 467,720 = 467,720 : x
  2. Step 2: Convert to fraction form
    210,532/467,720 = 467,720/x
  3. Step 3: Cross multiply
    210,532x = 467,720 × 467,720
  4. Step 4: Simplify right side
    210,532x = 218,761,998,400
  5. Step 5: Solve for x
    x = 218,761,998,400/210,532
  6. Step 6: Final answer
    x = 1,039,091.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.