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Finding the Third Proportional to 403,200 and 600,912

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Solution

The third proportional to 403,200 and 600,912 is: 895,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,200 : 600,912 = 600,912 : x
  2. Step 2: Convert to fraction form
    403,200/600,912 = 600,912/x
  3. Step 3: Cross multiply
    403,200x = 600,912 × 600,912
  4. Step 4: Simplify right side
    403,200x = 361,095,231,744
  5. Step 5: Solve for x
    x = 361,095,231,744/403,200
  6. Step 6: Final answer
    x = 895,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.