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Finding the Third Proportional to 235,240 and 500,825

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Solution

The third proportional to 235,240 and 500,825 is: 1,066,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,240 : 500,825 = 500,825 : x
  2. Step 2: Convert to fraction form
    235,240/500,825 = 500,825/x
  3. Step 3: Cross multiply
    235,240x = 500,825 × 500,825
  4. Step 4: Simplify right side
    235,240x = 250,825,680,625
  5. Step 5: Solve for x
    x = 250,825,680,625/235,240
  6. Step 6: Final answer
    x = 1,066,254.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.