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Finding the Third Proportional to 400,179 and 619,204.50

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Solution

The third proportional to 400,179 and 619,204.50 is: 958,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,179 : 619,204.50 = 619,204.50 : x
  2. Step 2: Convert to fraction form
    400,179/619,204.50 = 619,204.50/x
  3. Step 3: Cross multiply
    400,179x = 619,204.50 × 619,204.50
  4. Step 4: Simplify right side
    400,179x = 383,414,212,820.25
  5. Step 5: Solve for x
    x = 383,414,212,820.25/400,179
  6. Step 6: Final answer
    x = 958,106.78

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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.