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Finding the Third Proportional to 545,967 and 834,255

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Solution

The third proportional to 545,967 and 834,255 is: 1,274,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,967 : 834,255 = 834,255 : x
  2. Step 2: Convert to fraction form
    545,967/834,255 = 834,255/x
  3. Step 3: Cross multiply
    545,967x = 834,255 × 834,255
  4. Step 4: Simplify right side
    545,967x = 695,981,405,025
  5. Step 5: Solve for x
    x = 695,981,405,025/545,967
  6. Step 6: Final answer
    x = 1,274,768.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.