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Finding the Third Proportional to 344,076 and 505,962

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Solution

The third proportional to 344,076 and 505,962 is: 744,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,076 : 505,962 = 505,962 : x
  2. Step 2: Convert to fraction form
    344,076/505,962 = 505,962/x
  3. Step 3: Cross multiply
    344,076x = 505,962 × 505,962
  4. Step 4: Simplify right side
    344,076x = 255,997,545,444
  5. Step 5: Solve for x
    x = 255,997,545,444/344,076
  6. Step 6: Final answer
    x = 744,014.54

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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.