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Finding the Third Proportional to 448,852 and 671,759

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Solution

The third proportional to 448,852 and 671,759 is: 1,005,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,852 : 671,759 = 671,759 : x
  2. Step 2: Convert to fraction form
    448,852/671,759 = 671,759/x
  3. Step 3: Cross multiply
    448,852x = 671,759 × 671,759
  4. Step 4: Simplify right side
    448,852x = 451,260,154,081
  5. Step 5: Solve for x
    x = 451,260,154,081/448,852
  6. Step 6: Final answer
    x = 1,005,365.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.