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Finding the Third Proportional to 322,183.69 and 487,346.06

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Solution

The third proportional to 322,183.69 and 487,346.06 is: 737,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,183.69 : 487,346.06 = 487,346.06 : x
  2. Step 2: Convert to fraction form
    322,183.69/487,346.06 = 487,346.06/x
  3. Step 3: Cross multiply
    322,183.69x = 487,346.06 × 487,346.06
  4. Step 4: Simplify right side
    322,183.69x = 237,506,184,634.25
  5. Step 5: Solve for x
    x = 237,506,184,634.25/322,183.69
  6. Step 6: Final answer
    x = 737,176.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.