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Finding the Third Proportional to 354,661.50 and 768,304.50

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Solution

The third proportional to 354,661.50 and 768,304.50 is: 1,664,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,661.50 : 768,304.50 = 768,304.50 : x
  2. Step 2: Convert to fraction form
    354,661.50/768,304.50 = 768,304.50/x
  3. Step 3: Cross multiply
    354,661.50x = 768,304.50 × 768,304.50
  4. Step 4: Simplify right side
    354,661.50x = 590,291,804,720.25
  5. Step 5: Solve for x
    x = 590,291,804,720.25/354,661.50
  6. Step 6: Final answer
    x = 1,664,380.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.