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Finding the Third Proportional to 184,558 and 390,986

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Solution

The third proportional to 184,558 and 390,986 is: 828,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558 : 390,986 = 390,986 : x
  2. Step 2: Convert to fraction form
    184,558/390,986 = 390,986/x
  3. Step 3: Cross multiply
    184,558x = 390,986 × 390,986
  4. Step 4: Simplify right side
    184,558x = 152,870,052,196
  5. Step 5: Solve for x
    x = 152,870,052,196/184,558
  6. Step 6: Final answer
    x = 828,303.58

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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.