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Finding the Third Proportional to 303,972 and 444,232.50

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Solution

The third proportional to 303,972 and 444,232.50 is: 649,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,972 : 444,232.50 = 444,232.50 : x
  2. Step 2: Convert to fraction form
    303,972/444,232.50 = 444,232.50/x
  3. Step 3: Cross multiply
    303,972x = 444,232.50 × 444,232.50
  4. Step 4: Simplify right side
    303,972x = 197,342,514,056.25
  5. Step 5: Solve for x
    x = 197,342,514,056.25/303,972
  6. Step 6: Final answer
    x = 649,212.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.