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Finding the Third Proportional to 230,580 and 496,736

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Solution

The third proportional to 230,580 and 496,736 is: 1,070,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,580 : 496,736 = 496,736 : x
  2. Step 2: Convert to fraction form
    230,580/496,736 = 496,736/x
  3. Step 3: Cross multiply
    230,580x = 496,736 × 496,736
  4. Step 4: Simplify right side
    230,580x = 246,746,653,696
  5. Step 5: Solve for x
    x = 246,746,653,696/230,580
  6. Step 6: Final answer
    x = 1,070,112.99

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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.