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Finding the Third Proportional to 210,941 and 455,032

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Solution

The third proportional to 210,941 and 455,032 is: 981,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,941 : 455,032 = 455,032 : x
  2. Step 2: Convert to fraction form
    210,941/455,032 = 455,032/x
  3. Step 3: Cross multiply
    210,941x = 455,032 × 455,032
  4. Step 4: Simplify right side
    210,941x = 207,054,121,024
  5. Step 5: Solve for x
    x = 207,054,121,024/210,941
  6. Step 6: Final answer
    x = 981,573.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.