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Finding the Third Proportional to 233,469 and 510,185.25

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Solution

The third proportional to 233,469 and 510,185.25 is: 1,114,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,469 : 510,185.25 = 510,185.25 : x
  2. Step 2: Convert to fraction form
    233,469/510,185.25 = 510,185.25/x
  3. Step 3: Cross multiply
    233,469x = 510,185.25 × 510,185.25
  4. Step 4: Simplify right side
    233,469x = 260,288,989,317.56
  5. Step 5: Solve for x
    x = 260,288,989,317.56/233,469
  6. Step 6: Final answer
    x = 1,114,876.02

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