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Finding the Third Proportional to 360,341 and 765,129

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Solution

The third proportional to 360,341 and 765,129 is: 1,624,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,341 : 765,129 = 765,129 : x
  2. Step 2: Convert to fraction form
    360,341/765,129 = 765,129/x
  3. Step 3: Cross multiply
    360,341x = 765,129 × 765,129
  4. Step 4: Simplify right side
    360,341x = 585,422,386,641
  5. Step 5: Solve for x
    x = 585,422,386,641/360,341
  6. Step 6: Final answer
    x = 1,624,634.41

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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.