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Finding the Third Proportional to 546,846.50 and 856,110.75

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Solution

The third proportional to 546,846.50 and 856,110.75 is: 1,340,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,846.50 : 856,110.75 = 856,110.75 : x
  2. Step 2: Convert to fraction form
    546,846.50/856,110.75 = 856,110.75/x
  3. Step 3: Cross multiply
    546,846.50x = 856,110.75 × 856,110.75
  4. Step 4: Simplify right side
    546,846.50x = 732,925,616,265.56
  5. Step 5: Solve for x
    x = 732,925,616,265.56/546,846.50
  6. Step 6: Final answer
    x = 1,340,276.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.