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Finding the Third Proportional to 210,180 and 467,010

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Solution

The third proportional to 210,180 and 467,010 is: 1,037,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,180 : 467,010 = 467,010 : x
  2. Step 2: Convert to fraction form
    210,180/467,010 = 467,010/x
  3. Step 3: Cross multiply
    210,180x = 467,010 × 467,010
  4. Step 4: Simplify right side
    210,180x = 218,098,340,100
  5. Step 5: Solve for x
    x = 218,098,340,100/210,180
  6. Step 6: Final answer
    x = 1,037,674.09

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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.