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Finding the Third Proportional to 429,709.50 and 936,450

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Solution

The third proportional to 429,709.50 and 936,450 is: 2,040,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,709.50 : 936,450 = 936,450 : x
  2. Step 2: Convert to fraction form
    429,709.50/936,450 = 936,450/x
  3. Step 3: Cross multiply
    429,709.50x = 936,450 × 936,450
  4. Step 4: Simplify right side
    429,709.50x = 876,938,602,500
  5. Step 5: Solve for x
    x = 876,938,602,500/429,709.50
  6. Step 6: Final answer
    x = 2,040,770.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.