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Finding the Third Proportional to 344,064 and 505,976

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Solution

The third proportional to 344,064 and 505,976 is: 744,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064 : 505,976 = 505,976 : x
  2. Step 2: Convert to fraction form
    344,064/505,976 = 505,976/x
  3. Step 3: Cross multiply
    344,064x = 505,976 × 505,976
  4. Step 4: Simplify right side
    344,064x = 256,011,712,576
  5. Step 5: Solve for x
    x = 256,011,712,576/344,064
  6. Step 6: Final answer
    x = 744,081.66

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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.