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Finding the Third Proportional to 353,168 and 765,008

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Solution

The third proportional to 353,168 and 765,008 is: 1,657,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,168 : 765,008 = 765,008 : x
  2. Step 2: Convert to fraction form
    353,168/765,008 = 765,008/x
  3. Step 3: Cross multiply
    353,168x = 765,008 × 765,008
  4. Step 4: Simplify right side
    353,168x = 585,237,240,064
  5. Step 5: Solve for x
    x = 585,237,240,064/353,168
  6. Step 6: Final answer
    x = 1,657,107.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.