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Finding the Third Proportional to 329,076.75 and 712,125

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Solution

The third proportional to 329,076.75 and 712,125 is: 1,541,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,076.75 : 712,125 = 712,125 : x
  2. Step 2: Convert to fraction form
    329,076.75/712,125 = 712,125/x
  3. Step 3: Cross multiply
    329,076.75x = 712,125 × 712,125
  4. Step 4: Simplify right side
    329,076.75x = 507,122,015,625
  5. Step 5: Solve for x
    x = 507,122,015,625/329,076.75
  6. Step 6: Final answer
    x = 1,541,044.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.