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Finding the Third Proportional to 405,374 and 938,332

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Solution

The third proportional to 405,374 and 938,332 is: 2,171,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,374 : 938,332 = 938,332 : x
  2. Step 2: Convert to fraction form
    405,374/938,332 = 938,332/x
  3. Step 3: Cross multiply
    405,374x = 938,332 × 938,332
  4. Step 4: Simplify right side
    405,374x = 880,466,942,224
  5. Step 5: Solve for x
    x = 880,466,942,224/405,374
  6. Step 6: Final answer
    x = 2,171,986.71

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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.