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Finding the Third Proportional to 400,534.50 and 619,977.75

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Solution

The third proportional to 400,534.50 and 619,977.75 is: 959,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,534.50 : 619,977.75 = 619,977.75 : x
  2. Step 2: Convert to fraction form
    400,534.50/619,977.75 = 619,977.75/x
  3. Step 3: Cross multiply
    400,534.50x = 619,977.75 × 619,977.75
  4. Step 4: Simplify right side
    400,534.50x = 384,372,410,495.06
  5. Step 5: Solve for x
    x = 384,372,410,495.06/400,534.50
  6. Step 6: Final answer
    x = 959,648.70

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Why These Related Problems?

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