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Finding the Third Proportional to 233,793 and 511,334

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Solution

The third proportional to 233,793 and 511,334 is: 1,118,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,793 : 511,334 = 511,334 : x
  2. Step 2: Convert to fraction form
    233,793/511,334 = 511,334/x
  3. Step 3: Cross multiply
    233,793x = 511,334 × 511,334
  4. Step 4: Simplify right side
    233,793x = 261,462,459,556
  5. Step 5: Solve for x
    x = 261,462,459,556/233,793
  6. Step 6: Final answer
    x = 1,118,350.25

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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.