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Finding the Third Proportional to 461,299.50 and 649,327.50

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Solution

The third proportional to 461,299.50 and 649,327.50 is: 913,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,299.50 : 649,327.50 = 649,327.50 : x
  2. Step 2: Convert to fraction form
    461,299.50/649,327.50 = 649,327.50/x
  3. Step 3: Cross multiply
    461,299.50x = 649,327.50 × 649,327.50
  4. Step 4: Simplify right side
    461,299.50x = 421,626,202,256.25
  5. Step 5: Solve for x
    x = 421,626,202,256.25/461,299.50
  6. Step 6: Final answer
    x = 913,996.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.