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Finding the Third Proportional to 262,878 and 574,404

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Solution

The third proportional to 262,878 and 574,404 is: 1,255,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,878 : 574,404 = 574,404 : x
  2. Step 2: Convert to fraction form
    262,878/574,404 = 574,404/x
  3. Step 3: Cross multiply
    262,878x = 574,404 × 574,404
  4. Step 4: Simplify right side
    262,878x = 329,939,955,216
  5. Step 5: Solve for x
    x = 329,939,955,216/262,878
  6. Step 6: Final answer
    x = 1,255,106.76

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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.