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Finding the Third Proportional to 253,826 and 601,328

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Solution

The third proportional to 253,826 and 601,328 is: 1,424,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,826 : 601,328 = 601,328 : x
  2. Step 2: Convert to fraction form
    253,826/601,328 = 601,328/x
  3. Step 3: Cross multiply
    253,826x = 601,328 × 601,328
  4. Step 4: Simplify right side
    253,826x = 361,595,363,584
  5. Step 5: Solve for x
    x = 361,595,363,584/253,826
  6. Step 6: Final answer
    x = 1,424,579.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.