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Finding the Third Proportional to 354,579 and 765,993

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Solution

The third proportional to 354,579 and 765,993 is: 1,654,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,579 : 765,993 = 765,993 : x
  2. Step 2: Convert to fraction form
    354,579/765,993 = 765,993/x
  3. Step 3: Cross multiply
    354,579x = 765,993 × 765,993
  4. Step 4: Simplify right side
    354,579x = 586,745,276,049
  5. Step 5: Solve for x
    x = 586,745,276,049/354,579
  6. Step 6: Final answer
    x = 1,654,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.