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Finding the Third Proportional to 231,968 and 508,765

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Solution

The third proportional to 231,968 and 508,765 is: 1,115,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,968 : 508,765 = 508,765 : x
  2. Step 2: Convert to fraction form
    231,968/508,765 = 508,765/x
  3. Step 3: Cross multiply
    231,968x = 508,765 × 508,765
  4. Step 4: Simplify right side
    231,968x = 258,841,825,225
  5. Step 5: Solve for x
    x = 258,841,825,225/231,968
  6. Step 6: Final answer
    x = 1,115,851.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.