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Finding the Third Proportional to 344,160 and 504,954

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Solution

The third proportional to 344,160 and 504,954 is: 740,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,160 : 504,954 = 504,954 : x
  2. Step 2: Convert to fraction form
    344,160/504,954 = 504,954/x
  3. Step 3: Cross multiply
    344,160x = 504,954 × 504,954
  4. Step 4: Simplify right side
    344,160x = 254,978,542,116
  5. Step 5: Solve for x
    x = 254,978,542,116/344,160
  6. Step 6: Final answer
    x = 740,872.10

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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.