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Finding the Third Proportional to 262,858 and 371,938

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Solution

The third proportional to 262,858 and 371,938 is: 526,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,858 : 371,938 = 371,938 : x
  2. Step 2: Convert to fraction form
    262,858/371,938 = 371,938/x
  3. Step 3: Cross multiply
    262,858x = 371,938 × 371,938
  4. Step 4: Simplify right side
    262,858x = 138,337,875,844
  5. Step 5: Solve for x
    x = 138,337,875,844/262,858
  6. Step 6: Final answer
    x = 526,283.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.