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Finding the Third Proportional to 233,364 and 508,962

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Solution

The third proportional to 233,364 and 508,962 is: 1,110,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,364 : 508,962 = 508,962 : x
  2. Step 2: Convert to fraction form
    233,364/508,962 = 508,962/x
  3. Step 3: Cross multiply
    233,364x = 508,962 × 508,962
  4. Step 4: Simplify right side
    233,364x = 259,042,317,444
  5. Step 5: Solve for x
    x = 259,042,317,444/233,364
  6. Step 6: Final answer
    x = 1,110,035.47

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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.