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Finding the Third Proportional to 383,269.50 and 558,266.25

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Solution

The third proportional to 383,269.50 and 558,266.25 is: 813,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,269.50 : 558,266.25 = 558,266.25 : x
  2. Step 2: Convert to fraction form
    383,269.50/558,266.25 = 558,266.25/x
  3. Step 3: Cross multiply
    383,269.50x = 558,266.25 × 558,266.25
  4. Step 4: Simplify right side
    383,269.50x = 311,661,205,889.06
  5. Step 5: Solve for x
    x = 311,661,205,889.06/383,269.50
  6. Step 6: Final answer
    x = 813,164.64

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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.