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Finding the Third Proportional to 543,491 and 1,180,630.50

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Solution

The third proportional to 543,491 and 1,180,630.50 is: 2,564,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,491 : 1,180,630.50 = 1,180,630.50 : x
  2. Step 2: Convert to fraction form
    543,491/1,180,630.50 = 1,180,630.50/x
  3. Step 3: Cross multiply
    543,491x = 1,180,630.50 × 1,180,630.50
  4. Step 4: Simplify right side
    543,491x = 1,393,888,377,530.25
  5. Step 5: Solve for x
    x = 1,393,888,377,530.25/543,491
  6. Step 6: Final answer
    x = 2,564,694.50

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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.