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Finding the Third Proportional to 360,336 and 765,119

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Solution

The third proportional to 360,336 and 765,119 is: 1,624,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,336 : 765,119 = 765,119 : x
  2. Step 2: Convert to fraction form
    360,336/765,119 = 765,119/x
  3. Step 3: Cross multiply
    360,336x = 765,119 × 765,119
  4. Step 4: Simplify right side
    360,336x = 585,407,084,161
  5. Step 5: Solve for x
    x = 585,407,084,161/360,336
  6. Step 6: Final answer
    x = 1,624,614.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.