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Finding the Third Proportional to 233,797 and 511,342

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Solution

The third proportional to 233,797 and 511,342 is: 1,118,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,797 : 511,342 = 511,342 : x
  2. Step 2: Convert to fraction form
    233,797/511,342 = 511,342/x
  3. Step 3: Cross multiply
    233,797x = 511,342 × 511,342
  4. Step 4: Simplify right side
    233,797x = 261,470,640,964
  5. Step 5: Solve for x
    x = 261,470,640,964/233,797
  6. Step 6: Final answer
    x = 1,118,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.