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Finding the Third Proportional to 262,361 and 579,852

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Solution

The third proportional to 262,361 and 579,852 is: 1,281,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,361 : 579,852 = 579,852 : x
  2. Step 2: Convert to fraction form
    262,361/579,852 = 579,852/x
  3. Step 3: Cross multiply
    262,361x = 579,852 × 579,852
  4. Step 4: Simplify right side
    262,361x = 336,228,341,904
  5. Step 5: Solve for x
    x = 336,228,341,904/262,361
  6. Step 6: Final answer
    x = 1,281,548.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.