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Finding the Third Proportional to 248,740 and 532,936

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Solution

The third proportional to 248,740 and 532,936 is: 1,141,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,740 : 532,936 = 532,936 : x
  2. Step 2: Convert to fraction form
    248,740/532,936 = 532,936/x
  3. Step 3: Cross multiply
    248,740x = 532,936 × 532,936
  4. Step 4: Simplify right side
    248,740x = 284,020,780,096
  5. Step 5: Solve for x
    x = 284,020,780,096/248,740
  6. Step 6: Final answer
    x = 1,141,837.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.