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Finding the Third Proportional to 482,672.25 and 634,713.38

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Solution

The third proportional to 482,672.25 and 634,713.38 is: 834,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,672.25 : 634,713.38 = 634,713.38 : x
  2. Step 2: Convert to fraction form
    482,672.25/634,713.38 = 634,713.38/x
  3. Step 3: Cross multiply
    482,672.25x = 634,713.38 × 634,713.38
  4. Step 4: Simplify right side
    482,672.25x = 402,861,068,403.89
  5. Step 5: Solve for x
    x = 402,861,068,403.89/482,672.25
  6. Step 6: Final answer
    x = 834,647.25

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.