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Finding the Third Proportional to 263,297 and 578,078

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Solution

The third proportional to 263,297 and 578,078 is: 1,269,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,297 : 578,078 = 578,078 : x
  2. Step 2: Convert to fraction form
    263,297/578,078 = 578,078/x
  3. Step 3: Cross multiply
    263,297x = 578,078 × 578,078
  4. Step 4: Simplify right side
    263,297x = 334,174,174,084
  5. Step 5: Solve for x
    x = 334,174,174,084/263,297
  6. Step 6: Final answer
    x = 1,269,190.97

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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.