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Finding the Third Proportional to 246,626 and 532,100

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Solution

The third proportional to 246,626 and 532,100 is: 1,148,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,626 : 532,100 = 532,100 : x
  2. Step 2: Convert to fraction form
    246,626/532,100 = 532,100/x
  3. Step 3: Cross multiply
    246,626x = 532,100 × 532,100
  4. Step 4: Simplify right side
    246,626x = 283,130,410,000
  5. Step 5: Solve for x
    x = 283,130,410,000/246,626
  6. Step 6: Final answer
    x = 1,148,015.25

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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.