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Finding the Third Proportional to 262,868 and 371,948

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Solution

The third proportional to 262,868 and 371,948 is: 526,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,868 : 371,948 = 371,948 : x
  2. Step 2: Convert to fraction form
    262,868/371,948 = 371,948/x
  3. Step 3: Cross multiply
    262,868x = 371,948 × 371,948
  4. Step 4: Simplify right side
    262,868x = 138,345,314,704
  5. Step 5: Solve for x
    x = 138,345,314,704/262,868
  6. Step 6: Final answer
    x = 526,291.96

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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.