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Finding the Third Proportional to 477,960 and 649,512

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Solution

The third proportional to 477,960 and 649,512 is: 882,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,960 : 649,512 = 649,512 : x
  2. Step 2: Convert to fraction form
    477,960/649,512 = 649,512/x
  3. Step 3: Cross multiply
    477,960x = 649,512 × 649,512
  4. Step 4: Simplify right side
    477,960x = 421,865,838,144
  5. Step 5: Solve for x
    x = 421,865,838,144/477,960
  6. Step 6: Final answer
    x = 882,638.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.