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Finding the Third Proportional to 475,936 and 634,512

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Solution

The third proportional to 475,936 and 634,512 is: 845,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,936 : 634,512 = 634,512 : x
  2. Step 2: Convert to fraction form
    475,936/634,512 = 634,512/x
  3. Step 3: Cross multiply
    475,936x = 634,512 × 634,512
  4. Step 4: Simplify right side
    475,936x = 402,605,478,144
  5. Step 5: Solve for x
    x = 402,605,478,144/475,936
  6. Step 6: Final answer
    x = 845,923.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.