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Finding the Third Proportional to 262,862 and 371,944

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Solution

The third proportional to 262,862 and 371,944 is: 526,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,862 : 371,944 = 371,944 : x
  2. Step 2: Convert to fraction form
    262,862/371,944 = 371,944/x
  3. Step 3: Cross multiply
    262,862x = 371,944 × 371,944
  4. Step 4: Simplify right side
    262,862x = 138,342,339,136
  5. Step 5: Solve for x
    x = 138,342,339,136/262,862
  6. Step 6: Final answer
    x = 526,292.65

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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.