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Finding the Third Proportional to 259,636 and 552,752

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Solution

The third proportional to 259,636 and 552,752 is: 1,176,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,636 : 552,752 = 552,752 : x
  2. Step 2: Convert to fraction form
    259,636/552,752 = 552,752/x
  3. Step 3: Cross multiply
    259,636x = 552,752 × 552,752
  4. Step 4: Simplify right side
    259,636x = 305,534,773,504
  5. Step 5: Solve for x
    x = 305,534,773,504/259,636
  6. Step 6: Final answer
    x = 1,176,781.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.