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Finding the Third Proportional to 429,880.50 and 923,157

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Solution

The third proportional to 429,880.50 and 923,157 is: 1,982,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,880.50 : 923,157 = 923,157 : x
  2. Step 2: Convert to fraction form
    429,880.50/923,157 = 923,157/x
  3. Step 3: Cross multiply
    429,880.50x = 923,157 × 923,157
  4. Step 4: Simplify right side
    429,880.50x = 852,218,846,649
  5. Step 5: Solve for x
    x = 852,218,846,649/429,880.50
  6. Step 6: Final answer
    x = 1,982,455.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.