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Finding the Third Proportional to 321,853.50 and 473,424.75

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Solution

The third proportional to 321,853.50 and 473,424.75 is: 696,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,853.50 : 473,424.75 = 473,424.75 : x
  2. Step 2: Convert to fraction form
    321,853.50/473,424.75 = 473,424.75/x
  3. Step 3: Cross multiply
    321,853.50x = 473,424.75 × 473,424.75
  4. Step 4: Simplify right side
    321,853.50x = 224,130,993,912.56
  5. Step 5: Solve for x
    x = 224,130,993,912.56/321,853.50
  6. Step 6: Final answer
    x = 696,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.