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Finding the Third Proportional to 475,632 and 634,068

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Solution

The third proportional to 475,632 and 634,068 is: 845,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,632 : 634,068 = 634,068 : x
  2. Step 2: Convert to fraction form
    475,632/634,068 = 634,068/x
  3. Step 3: Cross multiply
    475,632x = 634,068 × 634,068
  4. Step 4: Simplify right side
    475,632x = 402,042,228,624
  5. Step 5: Solve for x
    x = 402,042,228,624/475,632
  6. Step 6: Final answer
    x = 845,280.02

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