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Finding the Third Proportional to 479,156 and 741,818

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Solution

The third proportional to 479,156 and 741,818 is: 1,148,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,156 : 741,818 = 741,818 : x
  2. Step 2: Convert to fraction form
    479,156/741,818 = 741,818/x
  3. Step 3: Cross multiply
    479,156x = 741,818 × 741,818
  4. Step 4: Simplify right side
    479,156x = 550,293,945,124
  5. Step 5: Solve for x
    x = 550,293,945,124/479,156
  6. Step 6: Final answer
    x = 1,148,465.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.