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Finding the Third Proportional to 184,804 and 453,807

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Solution

The third proportional to 184,804 and 453,807 is: 1,114,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 453,807 = 453,807 : x
  2. Step 2: Convert to fraction form
    184,804/453,807 = 453,807/x
  3. Step 3: Cross multiply
    184,804x = 453,807 × 453,807
  4. Step 4: Simplify right side
    184,804x = 205,940,793,249
  5. Step 5: Solve for x
    x = 205,940,793,249/184,804
  6. Step 6: Final answer
    x = 1,114,374.11

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.