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Finding the Third Proportional to 235,370 and 483,144

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Solution

The third proportional to 235,370 and 483,144 is: 991,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,370 : 483,144 = 483,144 : x
  2. Step 2: Convert to fraction form
    235,370/483,144 = 483,144/x
  3. Step 3: Cross multiply
    235,370x = 483,144 × 483,144
  4. Step 4: Simplify right side
    235,370x = 233,428,124,736
  5. Step 5: Solve for x
    x = 233,428,124,736/235,370
  6. Step 6: Final answer
    x = 991,749.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.