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Finding the Third Proportional to 235,450 and 510,017

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Solution

The third proportional to 235,450 and 510,017 is: 1,104,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,450 : 510,017 = 510,017 : x
  2. Step 2: Convert to fraction form
    235,450/510,017 = 510,017/x
  3. Step 3: Cross multiply
    235,450x = 510,017 × 510,017
  4. Step 4: Simplify right side
    235,450x = 260,117,340,289
  5. Step 5: Solve for x
    x = 260,117,340,289/235,450
  6. Step 6: Final answer
    x = 1,104,766.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.