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Finding the Third Proportional to 184,562 and 390,994

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Solution

The third proportional to 184,562 and 390,994 is: 828,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,562 : 390,994 = 390,994 : x
  2. Step 2: Convert to fraction form
    184,562/390,994 = 390,994/x
  3. Step 3: Cross multiply
    184,562x = 390,994 × 390,994
  4. Step 4: Simplify right side
    184,562x = 152,876,308,036
  5. Step 5: Solve for x
    x = 152,876,308,036/184,562
  6. Step 6: Final answer
    x = 828,319.52

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Why These Related Problems?

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