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Finding the Third Proportional to 184,620 and 402,504

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Solution

The third proportional to 184,620 and 402,504 is: 877,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,620 : 402,504 = 402,504 : x
  2. Step 2: Convert to fraction form
    184,620/402,504 = 402,504/x
  3. Step 3: Cross multiply
    184,620x = 402,504 × 402,504
  4. Step 4: Simplify right side
    184,620x = 162,009,470,016
  5. Step 5: Solve for x
    x = 162,009,470,016/184,620
  6. Step 6: Final answer
    x = 877,529.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.