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Finding the Third Proportional to 308,446.50 and 713,991

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Solution

The third proportional to 308,446.50 and 713,991 is: 1,652,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,446.50 : 713,991 = 713,991 : x
  2. Step 2: Convert to fraction form
    308,446.50/713,991 = 713,991/x
  3. Step 3: Cross multiply
    308,446.50x = 713,991 × 713,991
  4. Step 4: Simplify right side
    308,446.50x = 509,783,148,081
  5. Step 5: Solve for x
    x = 509,783,148,081/308,446.50
  6. Step 6: Final answer
    x = 1,652,744.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.