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Finding the Third Proportional to 246,386 and 532,164

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Solution

The third proportional to 246,386 and 532,164 is: 1,149,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,386 : 532,164 = 532,164 : x
  2. Step 2: Convert to fraction form
    246,386/532,164 = 532,164/x
  3. Step 3: Cross multiply
    246,386x = 532,164 × 532,164
  4. Step 4: Simplify right side
    246,386x = 283,198,522,896
  5. Step 5: Solve for x
    x = 283,198,522,896/246,386
  6. Step 6: Final answer
    x = 1,149,409.96

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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.