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Finding the Third Proportional to 260,824 and 571,462

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Solution

The third proportional to 260,824 and 571,462 is: 1,252,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,824 : 571,462 = 571,462 : x
  2. Step 2: Convert to fraction form
    260,824/571,462 = 571,462/x
  3. Step 3: Cross multiply
    260,824x = 571,462 × 571,462
  4. Step 4: Simplify right side
    260,824x = 326,568,817,444
  5. Step 5: Solve for x
    x = 326,568,817,444/260,824
  6. Step 6: Final answer
    x = 1,252,065.83

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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.