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Finding the Third Proportional to 308,938 and 477,594

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Solution

The third proportional to 308,938 and 477,594 is: 738,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938 : 477,594 = 477,594 : x
  2. Step 2: Convert to fraction form
    308,938/477,594 = 477,594/x
  3. Step 3: Cross multiply
    308,938x = 477,594 × 477,594
  4. Step 4: Simplify right side
    308,938x = 228,096,028,836
  5. Step 5: Solve for x
    x = 228,096,028,836/308,938
  6. Step 6: Final answer
    x = 738,322.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.