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Finding the Third Proportional to 305,966 and 662,768

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Solution

The third proportional to 305,966 and 662,768 is: 1,435,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,966 : 662,768 = 662,768 : x
  2. Step 2: Convert to fraction form
    305,966/662,768 = 662,768/x
  3. Step 3: Cross multiply
    305,966x = 662,768 × 662,768
  4. Step 4: Simplify right side
    305,966x = 439,261,421,824
  5. Step 5: Solve for x
    x = 439,261,421,824/305,966
  6. Step 6: Final answer
    x = 1,435,654.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.