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Finding the Third Proportional to 246,624 and 532,096

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Solution

The third proportional to 246,624 and 532,096 is: 1,148,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,624 : 532,096 = 532,096 : x
  2. Step 2: Convert to fraction form
    246,624/532,096 = 532,096/x
  3. Step 3: Cross multiply
    246,624x = 532,096 × 532,096
  4. Step 4: Simplify right side
    246,624x = 283,126,153,216
  5. Step 5: Solve for x
    x = 283,126,153,216/246,624
  6. Step 6: Final answer
    x = 1,148,007.30

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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.