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Finding the Third Proportional to 233,296 and 516,350

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Solution

The third proportional to 233,296 and 516,350 is: 1,142,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296 : 516,350 = 516,350 : x
  2. Step 2: Convert to fraction form
    233,296/516,350 = 516,350/x
  3. Step 3: Cross multiply
    233,296x = 516,350 × 516,350
  4. Step 4: Simplify right side
    233,296x = 266,617,322,500
  5. Step 5: Solve for x
    x = 266,617,322,500/233,296
  6. Step 6: Final answer
    x = 1,142,828.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.