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Finding the Third Proportional to 548,466 and 837,279

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Solution

The third proportional to 548,466 and 837,279 is: 1,278,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,466 : 837,279 = 837,279 : x
  2. Step 2: Convert to fraction form
    548,466/837,279 = 837,279/x
  3. Step 3: Cross multiply
    548,466x = 837,279 × 837,279
  4. Step 4: Simplify right side
    548,466x = 701,036,123,841
  5. Step 5: Solve for x
    x = 701,036,123,841/548,466
  6. Step 6: Final answer
    x = 1,278,176.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.