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Finding the Third Proportional to 305,616.38 and 483,822.56

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Solution

The third proportional to 305,616.38 and 483,822.56 is: 765,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616.38 : 483,822.56 = 483,822.56 : x
  2. Step 2: Convert to fraction form
    305,616.38/483,822.56 = 483,822.56/x
  3. Step 3: Cross multiply
    305,616.38x = 483,822.56 × 483,822.56
  4. Step 4: Simplify right side
    305,616.38x = 234,084,271,984.07
  5. Step 5: Solve for x
    x = 234,084,271,984.07/305,616.38
  6. Step 6: Final answer
    x = 765,941.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.