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Finding the Third Proportional to 233,723 and 502,356

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Solution

The third proportional to 233,723 and 502,356 is: 1,079,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,723 : 502,356 = 502,356 : x
  2. Step 2: Convert to fraction form
    233,723/502,356 = 502,356/x
  3. Step 3: Cross multiply
    233,723x = 502,356 × 502,356
  4. Step 4: Simplify right side
    233,723x = 252,361,550,736
  5. Step 5: Solve for x
    x = 252,361,550,736/233,723
  6. Step 6: Final answer
    x = 1,079,746.33

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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.