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Finding the Third Proportional to 184,554 and 390,978

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Solution

The third proportional to 184,554 and 390,978 is: 828,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,554 : 390,978 = 390,978 : x
  2. Step 2: Convert to fraction form
    184,554/390,978 = 390,978/x
  3. Step 3: Cross multiply
    184,554x = 390,978 × 390,978
  4. Step 4: Simplify right side
    184,554x = 152,863,796,484
  5. Step 5: Solve for x
    x = 152,863,796,484/184,554
  6. Step 6: Final answer
    x = 828,287.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.