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Finding the Third Proportional to 475,938 and 634,515

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Solution

The third proportional to 475,938 and 634,515 is: 845,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,938 : 634,515 = 634,515 : x
  2. Step 2: Convert to fraction form
    475,938/634,515 = 634,515/x
  3. Step 3: Cross multiply
    475,938x = 634,515 × 634,515
  4. Step 4: Simplify right side
    475,938x = 402,609,285,225
  5. Step 5: Solve for x
    x = 402,609,285,225/475,938
  6. Step 6: Final answer
    x = 845,928.01

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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.