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Finding the Third Proportional to 343,376.09 and 504,786.94

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Solution

The third proportional to 343,376.09 and 504,786.94 is: 742,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,376.09 : 504,786.94 = 504,786.94 : x
  2. Step 2: Convert to fraction form
    343,376.09/504,786.94 = 504,786.94/x
  3. Step 3: Cross multiply
    343,376.09x = 504,786.94 × 504,786.94
  4. Step 4: Simplify right side
    343,376.09x = 254,809,852,270.63
  5. Step 5: Solve for x
    x = 254,809,852,270.63/343,376.09
  6. Step 6: Final answer
    x = 742,072.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.