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Finding the Third Proportional to 246,838 and 532,064

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Solution

The third proportional to 246,838 and 532,064 is: 1,146,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,838 : 532,064 = 532,064 : x
  2. Step 2: Convert to fraction form
    246,838/532,064 = 532,064/x
  3. Step 3: Cross multiply
    246,838x = 532,064 × 532,064
  4. Step 4: Simplify right side
    246,838x = 283,092,100,096
  5. Step 5: Solve for x
    x = 283,092,100,096/246,838
  6. Step 6: Final answer
    x = 1,146,874.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.