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Finding the Third Proportional to 233,403.75 and 360,471.38

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Solution

The third proportional to 233,403.75 and 360,471.38 is: 556,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,403.75 : 360,471.38 = 360,471.38 : x
  2. Step 2: Convert to fraction form
    233,403.75/360,471.38 = 360,471.38/x
  3. Step 3: Cross multiply
    233,403.75x = 360,471.38 × 360,471.38
  4. Step 4: Simplify right side
    233,403.75x = 129,939,612,194.39
  5. Step 5: Solve for x
    x = 129,939,612,194.39/233,403.75
  6. Step 6: Final answer
    x = 556,716.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.