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Finding the Third Proportional to 274,920 and 594,768

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Solution

The third proportional to 274,920 and 594,768 is: 1,286,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,920 : 594,768 = 594,768 : x
  2. Step 2: Convert to fraction form
    274,920/594,768 = 594,768/x
  3. Step 3: Cross multiply
    274,920x = 594,768 × 594,768
  4. Step 4: Simplify right side
    274,920x = 353,748,973,824
  5. Step 5: Solve for x
    x = 353,748,973,824/274,920
  6. Step 6: Final answer
    x = 1,286,734.23

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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.