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Finding the Third Proportional to 548,905.50 and 856,557

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Solution

The third proportional to 548,905.50 and 856,557 is: 1,336,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,905.50 : 856,557 = 856,557 : x
  2. Step 2: Convert to fraction form
    548,905.50/856,557 = 856,557/x
  3. Step 3: Cross multiply
    548,905.50x = 856,557 × 856,557
  4. Step 4: Simplify right side
    548,905.50x = 733,689,894,249
  5. Step 5: Solve for x
    x = 733,689,894,249/548,905.50
  6. Step 6: Final answer
    x = 1,336,641.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.