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Finding the Third Proportional to 274,860 and 594,138

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Solution

The third proportional to 274,860 and 594,138 is: 1,284,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,860 : 594,138 = 594,138 : x
  2. Step 2: Convert to fraction form
    274,860/594,138 = 594,138/x
  3. Step 3: Cross multiply
    274,860x = 594,138 × 594,138
  4. Step 4: Simplify right side
    274,860x = 352,999,963,044
  5. Step 5: Solve for x
    x = 352,999,963,044/274,860
  6. Step 6: Final answer
    x = 1,284,290.05

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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.