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Finding the Third Proportional to 546,876.50 and 855,934.75

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Solution

The third proportional to 546,876.50 and 855,934.75 is: 1,339,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,876.50 : 855,934.75 = 855,934.75 : x
  2. Step 2: Convert to fraction form
    546,876.50/855,934.75 = 855,934.75/x
  3. Step 3: Cross multiply
    546,876.50x = 855,934.75 × 855,934.75
  4. Step 4: Simplify right side
    546,876.50x = 732,624,296,257.56
  5. Step 5: Solve for x
    x = 732,624,296,257.56/546,876.50
  6. Step 6: Final answer
    x = 1,339,652.18

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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.