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Finding the Third Proportional to 308,397 and 492,115.50

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Solution

The third proportional to 308,397 and 492,115.50 is: 785,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,397 : 492,115.50 = 492,115.50 : x
  2. Step 2: Convert to fraction form
    308,397/492,115.50 = 492,115.50/x
  3. Step 3: Cross multiply
    308,397x = 492,115.50 × 492,115.50
  4. Step 4: Simplify right side
    308,397x = 242,177,665,340.25
  5. Step 5: Solve for x
    x = 242,177,665,340.25/308,397
  6. Step 6: Final answer
    x = 785,278.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.