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Finding the Third Proportional to 277,116 and 405,804

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Solution

The third proportional to 277,116 and 405,804 is: 594,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,116 : 405,804 = 405,804 : x
  2. Step 2: Convert to fraction form
    277,116/405,804 = 405,804/x
  3. Step 3: Cross multiply
    277,116x = 405,804 × 405,804
  4. Step 4: Simplify right side
    277,116x = 164,676,886,416
  5. Step 5: Solve for x
    x = 164,676,886,416/277,116
  6. Step 6: Final answer
    x = 594,252.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.