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Finding the Third Proportional to 405,374.63 and 938,334.38

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Solution

The third proportional to 405,374.63 and 938,334.38 is: 2,171,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,374.63 : 938,334.38 = 938,334.38 : x
  2. Step 2: Convert to fraction form
    405,374.63/938,334.38 = 938,334.38/x
  3. Step 3: Cross multiply
    405,374.63x = 938,334.38 × 938,334.38
  4. Step 4: Simplify right side
    405,374.63x = 880,471,399,306.64
  5. Step 5: Solve for x
    x = 880,471,399,306.64/405,374.63
  6. Step 6: Final answer
    x = 2,171,994.36

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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.