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Finding the Third Proportional to 264,913.50 and 396,328.50

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Solution

The third proportional to 264,913.50 and 396,328.50 is: 592,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,913.50 : 396,328.50 = 396,328.50 : x
  2. Step 2: Convert to fraction form
    264,913.50/396,328.50 = 396,328.50/x
  3. Step 3: Cross multiply
    264,913.50x = 396,328.50 × 396,328.50
  4. Step 4: Simplify right side
    264,913.50x = 157,076,279,912.25
  5. Step 5: Solve for x
    x = 157,076,279,912.25/264,913.50
  6. Step 6: Final answer
    x = 592,934.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.