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Finding the Third Proportional to 362,731.50 and 768,672

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Solution

The third proportional to 362,731.50 and 768,672 is: 1,628,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,731.50 : 768,672 = 768,672 : x
  2. Step 2: Convert to fraction form
    362,731.50/768,672 = 768,672/x
  3. Step 3: Cross multiply
    362,731.50x = 768,672 × 768,672
  4. Step 4: Simplify right side
    362,731.50x = 590,856,643,584
  5. Step 5: Solve for x
    x = 590,856,643,584/362,731.50
  6. Step 6: Final answer
    x = 1,628,909.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.