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Finding the Third Proportional to 262,872 and 371,960

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Solution

The third proportional to 262,872 and 371,960 is: 526,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,872 : 371,960 = 371,960 : x
  2. Step 2: Convert to fraction form
    262,872/371,960 = 371,960/x
  3. Step 3: Cross multiply
    262,872x = 371,960 × 371,960
  4. Step 4: Simplify right side
    262,872x = 138,354,241,600
  5. Step 5: Solve for x
    x = 138,354,241,600/262,872
  6. Step 6: Final answer
    x = 526,317.91

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