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Finding the Third Proportional to 233,112 and 485,904

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Solution

The third proportional to 233,112 and 485,904 is: 1,012,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,112 : 485,904 = 485,904 : x
  2. Step 2: Convert to fraction form
    233,112/485,904 = 485,904/x
  3. Step 3: Cross multiply
    233,112x = 485,904 × 485,904
  4. Step 4: Simplify right side
    233,112x = 236,102,697,216
  5. Step 5: Solve for x
    x = 236,102,697,216/233,112
  6. Step 6: Final answer
    x = 1,012,829.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.