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Finding the Third Proportional to 441,954 and 680,184

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Solution

The third proportional to 441,954 and 680,184 is: 1,046,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,954 : 680,184 = 680,184 : x
  2. Step 2: Convert to fraction form
    441,954/680,184 = 680,184/x
  3. Step 3: Cross multiply
    441,954x = 680,184 × 680,184
  4. Step 4: Simplify right side
    441,954x = 462,650,273,856
  5. Step 5: Solve for x
    x = 462,650,273,856/441,954
  6. Step 6: Final answer
    x = 1,046,829.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.