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Finding the Third Proportional to 362,744 and 509,912

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Solution

The third proportional to 362,744 and 509,912 is: 716,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,744 : 509,912 = 509,912 : x
  2. Step 2: Convert to fraction form
    362,744/509,912 = 509,912/x
  3. Step 3: Cross multiply
    362,744x = 509,912 × 509,912
  4. Step 4: Simplify right side
    362,744x = 260,010,247,744
  5. Step 5: Solve for x
    x = 260,010,247,744/362,744
  6. Step 6: Final answer
    x = 716,787.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.