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Finding the Third Proportional to 263,640 and 568,752

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Solution

The third proportional to 263,640 and 568,752 is: 1,226,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,640 : 568,752 = 568,752 : x
  2. Step 2: Convert to fraction form
    263,640/568,752 = 568,752/x
  3. Step 3: Cross multiply
    263,640x = 568,752 × 568,752
  4. Step 4: Simplify right side
    263,640x = 323,478,837,504
  5. Step 5: Solve for x
    x = 323,478,837,504/263,640
  6. Step 6: Final answer
    x = 1,226,971.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.