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Finding the Third Proportional to 230,536 and 496,628

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Solution

The third proportional to 230,536 and 496,628 is: 1,069,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,536 : 496,628 = 496,628 : x
  2. Step 2: Convert to fraction form
    230,536/496,628 = 496,628/x
  3. Step 3: Cross multiply
    230,536x = 496,628 × 496,628
  4. Step 4: Simplify right side
    230,536x = 246,639,370,384
  5. Step 5: Solve for x
    x = 246,639,370,384/230,536
  6. Step 6: Final answer
    x = 1,069,851.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.