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Finding the Third Proportional to 360,334 and 765,115

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Solution

The third proportional to 360,334 and 765,115 is: 1,624,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,334 : 765,115 = 765,115 : x
  2. Step 2: Convert to fraction form
    360,334/765,115 = 765,115/x
  3. Step 3: Cross multiply
    360,334x = 765,115 × 765,115
  4. Step 4: Simplify right side
    360,334x = 585,400,963,225
  5. Step 5: Solve for x
    x = 585,400,963,225/360,334
  6. Step 6: Final answer
    x = 1,624,606.51

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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.