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Finding the Third Proportional to 603,433.50 and 911,301

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Solution

The third proportional to 603,433.50 and 911,301 is: 1,376,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,433.50 : 911,301 = 911,301 : x
  2. Step 2: Convert to fraction form
    603,433.50/911,301 = 911,301/x
  3. Step 3: Cross multiply
    603,433.50x = 911,301 × 911,301
  4. Step 4: Simplify right side
    603,433.50x = 830,469,512,601
  5. Step 5: Solve for x
    x = 830,469,512,601/603,433.50
  6. Step 6: Final answer
    x = 1,376,240.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.