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Finding the Third Proportional to 274,032 and 594,648

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Solution

The third proportional to 274,032 and 594,648 is: 1,290,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,032 : 594,648 = 594,648 : x
  2. Step 2: Convert to fraction form
    274,032/594,648 = 594,648/x
  3. Step 3: Cross multiply
    274,032x = 594,648 × 594,648
  4. Step 4: Simplify right side
    274,032x = 353,606,243,904
  5. Step 5: Solve for x
    x = 353,606,243,904/274,032
  6. Step 6: Final answer
    x = 1,290,383.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.