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Finding the Third Proportional to 301,905 and 651,107.25

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Solution

The third proportional to 301,905 and 651,107.25 is: 1,404,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905 : 651,107.25 = 651,107.25 : x
  2. Step 2: Convert to fraction form
    301,905/651,107.25 = 651,107.25/x
  3. Step 3: Cross multiply
    301,905x = 651,107.25 × 651,107.25
  4. Step 4: Simplify right side
    301,905x = 423,940,651,002.56
  5. Step 5: Solve for x
    x = 423,940,651,002.56/301,905
  6. Step 6: Final answer
    x = 1,404,218.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.