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Finding the Third Proportional to 295,857 and 480,672

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Solution

The third proportional to 295,857 and 480,672 is: 780,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,857 : 480,672 = 480,672 : x
  2. Step 2: Convert to fraction form
    295,857/480,672 = 480,672/x
  3. Step 3: Cross multiply
    295,857x = 480,672 × 480,672
  4. Step 4: Simplify right side
    295,857x = 231,045,571,584
  5. Step 5: Solve for x
    x = 231,045,571,584/295,857
  6. Step 6: Final answer
    x = 780,936.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.