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Finding the Third Proportional to 274,880 and 596,408

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Solution

The third proportional to 274,880 and 596,408 is: 1,294,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,880 : 596,408 = 596,408 : x
  2. Step 2: Convert to fraction form
    274,880/596,408 = 596,408/x
  3. Step 3: Cross multiply
    274,880x = 596,408 × 596,408
  4. Step 4: Simplify right side
    274,880x = 355,702,502,464
  5. Step 5: Solve for x
    x = 355,702,502,464/274,880
  6. Step 6: Final answer
    x = 1,294,028.31

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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.