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Finding the Third Proportional to 234,489.94 and 511,882.03

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Solution

The third proportional to 234,489.94 and 511,882.03 is: 1,117,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,489.94 : 511,882.03 = 511,882.03 : x
  2. Step 2: Convert to fraction form
    234,489.94/511,882.03 = 511,882.03/x
  3. Step 3: Cross multiply
    234,489.94x = 511,882.03 × 511,882.03
  4. Step 4: Simplify right side
    234,489.94x = 262,023,213,916.63
  5. Step 5: Solve for x
    x = 262,023,213,916.63/234,489.94
  6. Step 6: Final answer
    x = 1,117,417.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.