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Finding the Third Proportional to 474,381 and 733,738.50

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Solution

The third proportional to 474,381 and 733,738.50 is: 1,134,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,381 : 733,738.50 = 733,738.50 : x
  2. Step 2: Convert to fraction form
    474,381/733,738.50 = 733,738.50/x
  3. Step 3: Cross multiply
    474,381x = 733,738.50 × 733,738.50
  4. Step 4: Simplify right side
    474,381x = 538,372,186,382.25
  5. Step 5: Solve for x
    x = 538,372,186,382.25/474,381
  6. Step 6: Final answer
    x = 1,134,894.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.