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Finding the Third Proportional to 374,213 and 823,148

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Solution

The third proportional to 374,213 and 823,148 is: 1,810,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,213 : 823,148 = 823,148 : x
  2. Step 2: Convert to fraction form
    374,213/823,148 = 823,148/x
  3. Step 3: Cross multiply
    374,213x = 823,148 × 823,148
  4. Step 4: Simplify right side
    374,213x = 677,572,629,904
  5. Step 5: Solve for x
    x = 677,572,629,904/374,213
  6. Step 6: Final answer
    x = 1,810,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.