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Finding the Third Proportional to 262,864 and 371,947

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Solution

The third proportional to 262,864 and 371,947 is: 526,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,864 : 371,947 = 371,947 : x
  2. Step 2: Convert to fraction form
    262,864/371,947 = 371,947/x
  3. Step 3: Cross multiply
    262,864x = 371,947 × 371,947
  4. Step 4: Simplify right side
    262,864x = 138,344,570,809
  5. Step 5: Solve for x
    x = 138,344,570,809/262,864
  6. Step 6: Final answer
    x = 526,297.14

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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.