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Finding the Third Proportional to 233,351 and 508,936.50

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Solution

The third proportional to 233,351 and 508,936.50 is: 1,109,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,351 : 508,936.50 = 508,936.50 : x
  2. Step 2: Convert to fraction form
    233,351/508,936.50 = 508,936.50/x
  3. Step 3: Cross multiply
    233,351x = 508,936.50 × 508,936.50
  4. Step 4: Simplify right side
    233,351x = 259,016,361,032.25
  5. Step 5: Solve for x
    x = 259,016,361,032.25/233,351
  6. Step 6: Final answer
    x = 1,109,986.08

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