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Finding the Third Proportional to 305,712 and 671,616

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Solution

The third proportional to 305,712 and 671,616 is: 1,475,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,712 : 671,616 = 671,616 : x
  2. Step 2: Convert to fraction form
    305,712/671,616 = 671,616/x
  3. Step 3: Cross multiply
    305,712x = 671,616 × 671,616
  4. Step 4: Simplify right side
    305,712x = 451,068,051,456
  5. Step 5: Solve for x
    x = 451,068,051,456/305,712
  6. Step 6: Final answer
    x = 1,475,467.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.