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Finding the Third Proportional to 228,636 and 525,852

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Solution

The third proportional to 228,636 and 525,852 is: 1,209,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,636 : 525,852 = 525,852 : x
  2. Step 2: Convert to fraction form
    228,636/525,852 = 525,852/x
  3. Step 3: Cross multiply
    228,636x = 525,852 × 525,852
  4. Step 4: Simplify right side
    228,636x = 276,520,325,904
  5. Step 5: Solve for x
    x = 276,520,325,904/228,636
  6. Step 6: Final answer
    x = 1,209,434.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.