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Finding the Third Proportional to 262,880 and 574,408

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Solution

The third proportional to 262,880 and 574,408 is: 1,255,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,880 : 574,408 = 574,408 : x
  2. Step 2: Convert to fraction form
    262,880/574,408 = 574,408/x
  3. Step 3: Cross multiply
    262,880x = 574,408 × 574,408
  4. Step 4: Simplify right side
    262,880x = 329,944,550,464
  5. Step 5: Solve for x
    x = 329,944,550,464/262,880
  6. Step 6: Final answer
    x = 1,255,114.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.