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Finding the Third Proportional to 405,237 and 938,050

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Solution

The third proportional to 405,237 and 938,050 is: 2,171,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,237 : 938,050 = 938,050 : x
  2. Step 2: Convert to fraction form
    405,237/938,050 = 938,050/x
  3. Step 3: Cross multiply
    405,237x = 938,050 × 938,050
  4. Step 4: Simplify right side
    405,237x = 879,937,802,500
  5. Step 5: Solve for x
    x = 879,937,802,500/405,237
  6. Step 6: Final answer
    x = 2,171,415.25

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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.