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Finding the Third Proportional to 405,240 and 938,058

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Solution

The third proportional to 405,240 and 938,058 is: 2,171,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,240 : 938,058 = 938,058 : x
  2. Step 2: Convert to fraction form
    405,240/938,058 = 938,058/x
  3. Step 3: Cross multiply
    405,240x = 938,058 × 938,058
  4. Step 4: Simplify right side
    405,240x = 879,952,811,364
  5. Step 5: Solve for x
    x = 879,952,811,364/405,240
  6. Step 6: Final answer
    x = 2,171,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.