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Finding the Third Proportional to 233,268.75 and 498,519

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Solution

The third proportional to 233,268.75 and 498,519 is: 1,065,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,268.75 : 498,519 = 498,519 : x
  2. Step 2: Convert to fraction form
    233,268.75/498,519 = 498,519/x
  3. Step 3: Cross multiply
    233,268.75x = 498,519 × 498,519
  4. Step 4: Simplify right side
    233,268.75x = 248,521,193,361
  5. Step 5: Solve for x
    x = 248,521,193,361/233,268.75
  6. Step 6: Final answer
    x = 1,065,385.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.