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Finding the Third Proportional to 283,448.25 and 429,671.25

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Solution

The third proportional to 283,448.25 and 429,671.25 is: 651,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,448.25 : 429,671.25 = 429,671.25 : x
  2. Step 2: Convert to fraction form
    283,448.25/429,671.25 = 429,671.25/x
  3. Step 3: Cross multiply
    283,448.25x = 429,671.25 × 429,671.25
  4. Step 4: Simplify right side
    283,448.25x = 184,617,383,076.56
  5. Step 5: Solve for x
    x = 184,617,383,076.56/283,448.25
  6. Step 6: Final answer
    x = 651,326.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.