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Finding the Third Proportional to 360,337 and 765,121

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Solution

The third proportional to 360,337 and 765,121 is: 1,624,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,337 : 765,121 = 765,121 : x
  2. Step 2: Convert to fraction form
    360,337/765,121 = 765,121/x
  3. Step 3: Cross multiply
    360,337x = 765,121 × 765,121
  4. Step 4: Simplify right side
    360,337x = 585,410,144,641
  5. Step 5: Solve for x
    x = 585,410,144,641/360,337
  6. Step 6: Final answer
    x = 1,624,618.47

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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.