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Finding the Third Proportional to 233,429 and 512,245

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Solution

The third proportional to 233,429 and 512,245 is: 1,124,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,429 : 512,245 = 512,245 : x
  2. Step 2: Convert to fraction form
    233,429/512,245 = 512,245/x
  3. Step 3: Cross multiply
    233,429x = 512,245 × 512,245
  4. Step 4: Simplify right side
    233,429x = 262,394,940,025
  5. Step 5: Solve for x
    x = 262,394,940,025/233,429
  6. Step 6: Final answer
    x = 1,124,088.87

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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.