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Finding the Third Proportional to 330,374 and 525,099

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Solution

The third proportional to 330,374 and 525,099 is: 834,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,374 : 525,099 = 525,099 : x
  2. Step 2: Convert to fraction form
    330,374/525,099 = 525,099/x
  3. Step 3: Cross multiply
    330,374x = 525,099 × 525,099
  4. Step 4: Simplify right side
    330,374x = 275,728,959,801
  5. Step 5: Solve for x
    x = 275,728,959,801/330,374
  6. Step 6: Final answer
    x = 834,596.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.