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Finding the Third Proportional to 543,505.50 and 1,180,656

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Solution

The third proportional to 543,505.50 and 1,180,656 is: 2,564,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,505.50 : 1,180,656 = 1,180,656 : x
  2. Step 2: Convert to fraction form
    543,505.50/1,180,656 = 1,180,656/x
  3. Step 3: Cross multiply
    543,505.50x = 1,180,656 × 1,180,656
  4. Step 4: Simplify right side
    543,505.50x = 1,393,948,590,336
  5. Step 5: Solve for x
    x = 1,393,948,590,336/543,505.50
  6. Step 6: Final answer
    x = 2,564,736.86

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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.