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Finding the Third Proportional to 459,960 and 633,375

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Solution

The third proportional to 459,960 and 633,375 is: 872,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,960 : 633,375 = 633,375 : x
  2. Step 2: Convert to fraction form
    459,960/633,375 = 633,375/x
  3. Step 3: Cross multiply
    459,960x = 633,375 × 633,375
  4. Step 4: Simplify right side
    459,960x = 401,163,890,625
  5. Step 5: Solve for x
    x = 401,163,890,625/459,960
  6. Step 6: Final answer
    x = 872,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.