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Finding the Third Proportional to 260,844 and 571,692

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Solution

The third proportional to 260,844 and 571,692 is: 1,252,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,844 : 571,692 = 571,692 : x
  2. Step 2: Convert to fraction form
    260,844/571,692 = 571,692/x
  3. Step 3: Cross multiply
    260,844x = 571,692 × 571,692
  4. Step 4: Simplify right side
    260,844x = 326,831,742,864
  5. Step 5: Solve for x
    x = 326,831,742,864/260,844
  6. Step 6: Final answer
    x = 1,252,977.81

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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.