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Finding the Third Proportional to 260,922 and 571,852

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Solution

The third proportional to 260,922 and 571,852 is: 1,253,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,922 : 571,852 = 571,852 : x
  2. Step 2: Convert to fraction form
    260,922/571,852 = 571,852/x
  3. Step 3: Cross multiply
    260,922x = 571,852 × 571,852
  4. Step 4: Simplify right side
    260,922x = 327,014,709,904
  5. Step 5: Solve for x
    x = 327,014,709,904/260,922
  6. Step 6: Final answer
    x = 1,253,304.47

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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.