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Finding the Third Proportional to 255,729 and 378,637

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Solution

The third proportional to 255,729 and 378,637 is: 560,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,729 : 378,637 = 378,637 : x
  2. Step 2: Convert to fraction form
    255,729/378,637 = 378,637/x
  3. Step 3: Cross multiply
    255,729x = 378,637 × 378,637
  4. Step 4: Simplify right side
    255,729x = 143,365,977,769
  5. Step 5: Solve for x
    x = 143,365,977,769/255,729
  6. Step 6: Final answer
    x = 560,616.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.