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Finding the Third Proportional to 275,329.50 and 565,480.50

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Solution

The third proportional to 275,329.50 and 565,480.50 is: 1,161,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329.50 : 565,480.50 = 565,480.50 : x
  2. Step 2: Convert to fraction form
    275,329.50/565,480.50 = 565,480.50/x
  3. Step 3: Cross multiply
    275,329.50x = 565,480.50 × 565,480.50
  4. Step 4: Simplify right side
    275,329.50x = 319,768,195,880.25
  5. Step 5: Solve for x
    x = 319,768,195,880.25/275,329.50
  6. Step 6: Final answer
    x = 1,161,401.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.