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Finding the Third Proportional to 311,491.50 and 473,393.25

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Solution

The third proportional to 311,491.50 and 473,393.25 is: 719,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,491.50 : 473,393.25 = 473,393.25 : x
  2. Step 2: Convert to fraction form
    311,491.50/473,393.25 = 473,393.25/x
  3. Step 3: Cross multiply
    311,491.50x = 473,393.25 × 473,393.25
  4. Step 4: Simplify right side
    311,491.50x = 224,101,169,145.56
  5. Step 5: Solve for x
    x = 224,101,169,145.56/311,491.50
  6. Step 6: Final answer
    x = 719,445.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.