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Finding the Third Proportional to 210,936 and 453,032

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Solution

The third proportional to 210,936 and 453,032 is: 972,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,936 : 453,032 = 453,032 : x
  2. Step 2: Convert to fraction form
    210,936/453,032 = 453,032/x
  3. Step 3: Cross multiply
    210,936x = 453,032 × 453,032
  4. Step 4: Simplify right side
    210,936x = 205,237,993,024
  5. Step 5: Solve for x
    x = 205,237,993,024/210,936
  6. Step 6: Final answer
    x = 972,987.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.