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Finding the Third Proportional to 540,976.50 and 1,175,265

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Solution

The third proportional to 540,976.50 and 1,175,265 is: 2,553,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,976.50 : 1,175,265 = 1,175,265 : x
  2. Step 2: Convert to fraction form
    540,976.50/1,175,265 = 1,175,265/x
  3. Step 3: Cross multiply
    540,976.50x = 1,175,265 × 1,175,265
  4. Step 4: Simplify right side
    540,976.50x = 1,381,247,820,225
  5. Step 5: Solve for x
    x = 1,381,247,820,225/540,976.50
  6. Step 6: Final answer
    x = 2,553,249.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.