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Finding the Third Proportional to 362,116 and 476,214

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Solution

The third proportional to 362,116 and 476,214 is: 626,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,116 : 476,214 = 476,214 : x
  2. Step 2: Convert to fraction form
    362,116/476,214 = 476,214/x
  3. Step 3: Cross multiply
    362,116x = 476,214 × 476,214
  4. Step 4: Simplify right side
    362,116x = 226,779,773,796
  5. Step 5: Solve for x
    x = 226,779,773,796/362,116
  6. Step 6: Final answer
    x = 626,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.