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Finding the Third Proportional to 199,504 and 427,032

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Solution

The third proportional to 199,504 and 427,032 is: 914,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504 : 427,032 = 427,032 : x
  2. Step 2: Convert to fraction form
    199,504/427,032 = 427,032/x
  3. Step 3: Cross multiply
    199,504x = 427,032 × 427,032
  4. Step 4: Simplify right side
    199,504x = 182,356,329,024
  5. Step 5: Solve for x
    x = 182,356,329,024/199,504
  6. Step 6: Final answer
    x = 914,048.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.