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Finding the Third Proportional to 235,944 and 513,356

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Solution

The third proportional to 235,944 and 513,356 is: 1,116,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,944 : 513,356 = 513,356 : x
  2. Step 2: Convert to fraction form
    235,944/513,356 = 513,356/x
  3. Step 3: Cross multiply
    235,944x = 513,356 × 513,356
  4. Step 4: Simplify right side
    235,944x = 263,534,382,736
  5. Step 5: Solve for x
    x = 263,534,382,736/235,944
  6. Step 6: Final answer
    x = 1,116,936.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.