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Finding the Third Proportional to 548,176 and 843,659

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Solution

The third proportional to 548,176 and 843,659 is: 1,298,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,176 : 843,659 = 843,659 : x
  2. Step 2: Convert to fraction form
    548,176/843,659 = 843,659/x
  3. Step 3: Cross multiply
    548,176x = 843,659 × 843,659
  4. Step 4: Simplify right side
    548,176x = 711,760,508,281
  5. Step 5: Solve for x
    x = 711,760,508,281/548,176
  6. Step 6: Final answer
    x = 1,298,416.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.