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Finding the Third Proportional to 432,960.19 and 928,962

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Solution

The third proportional to 432,960.19 and 928,962 is: 1,993,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,960.19 : 928,962 = 928,962 : x
  2. Step 2: Convert to fraction form
    432,960.19/928,962 = 928,962/x
  3. Step 3: Cross multiply
    432,960.19x = 928,962 × 928,962
  4. Step 4: Simplify right side
    432,960.19x = 862,970,397,444
  5. Step 5: Solve for x
    x = 862,970,397,444/432,960.19
  6. Step 6: Final answer
    x = 1,993,186.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.