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Finding the Third Proportional to 429,146.50 and 649,242

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Solution

The third proportional to 429,146.50 and 649,242 is: 982,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146.50 : 649,242 = 649,242 : x
  2. Step 2: Convert to fraction form
    429,146.50/649,242 = 649,242/x
  3. Step 3: Cross multiply
    429,146.50x = 649,242 × 649,242
  4. Step 4: Simplify right side
    429,146.50x = 421,515,174,564
  5. Step 5: Solve for x
    x = 421,515,174,564/429,146.50
  6. Step 6: Final answer
    x = 982,217.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.