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Finding the Third Proportional to 246,632 and 532,112

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Solution

The third proportional to 246,632 and 532,112 is: 1,148,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,632 : 532,112 = 532,112 : x
  2. Step 2: Convert to fraction form
    246,632/532,112 = 532,112/x
  3. Step 3: Cross multiply
    246,632x = 532,112 × 532,112
  4. Step 4: Simplify right side
    246,632x = 283,143,180,544
  5. Step 5: Solve for x
    x = 283,143,180,544/246,632
  6. Step 6: Final answer
    x = 1,148,039.10

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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.