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Finding the Third Proportional to 263,184 and 578,844

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Solution

The third proportional to 263,184 and 578,844 is: 1,273,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,184 : 578,844 = 578,844 : x
  2. Step 2: Convert to fraction form
    263,184/578,844 = 578,844/x
  3. Step 3: Cross multiply
    263,184x = 578,844 × 578,844
  4. Step 4: Simplify right side
    263,184x = 335,060,376,336
  5. Step 5: Solve for x
    x = 335,060,376,336/263,184
  6. Step 6: Final answer
    x = 1,273,103.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.