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Finding the Third Proportional to 368,460 and 764,616

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Solution

The third proportional to 368,460 and 764,616 is: 1,586,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,460 : 764,616 = 764,616 : x
  2. Step 2: Convert to fraction form
    368,460/764,616 = 764,616/x
  3. Step 3: Cross multiply
    368,460x = 764,616 × 764,616
  4. Step 4: Simplify right side
    368,460x = 584,637,627,456
  5. Step 5: Solve for x
    x = 584,637,627,456/368,460
  6. Step 6: Final answer
    x = 1,586,705.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.