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Finding the Third Proportional to 241,476 and 362,868

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Solution

The third proportional to 241,476 and 362,868 is: 545,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,476 : 362,868 = 362,868 : x
  2. Step 2: Convert to fraction form
    241,476/362,868 = 362,868/x
  3. Step 3: Cross multiply
    241,476x = 362,868 × 362,868
  4. Step 4: Simplify right side
    241,476x = 131,673,185,424
  5. Step 5: Solve for x
    x = 131,673,185,424/241,476
  6. Step 6: Final answer
    x = 545,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.