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Finding the Third Proportional to 543,219.75 and 859,971.94

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Solution

The third proportional to 543,219.75 and 859,971.94 is: 1,361,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,219.75 : 859,971.94 = 859,971.94 : x
  2. Step 2: Convert to fraction form
    543,219.75/859,971.94 = 859,971.94/x
  3. Step 3: Cross multiply
    543,219.75x = 859,971.94 × 859,971.94
  4. Step 4: Simplify right side
    543,219.75x = 739,551,733,287.50
  5. Step 5: Solve for x
    x = 739,551,733,287.50/543,219.75
  6. Step 6: Final answer
    x = 1,361,422.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.