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Finding the Third Proportional to 307,810 and 671,106

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Solution

The third proportional to 307,810 and 671,106 is: 1,463,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,810 : 671,106 = 671,106 : x
  2. Step 2: Convert to fraction form
    307,810/671,106 = 671,106/x
  3. Step 3: Cross multiply
    307,810x = 671,106 × 671,106
  4. Step 4: Simplify right side
    307,810x = 450,383,263,236
  5. Step 5: Solve for x
    x = 450,383,263,236/307,810
  6. Step 6: Final answer
    x = 1,463,185.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.