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Finding the Third Proportional to 307,133.50 and 671,003

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Solution

The third proportional to 307,133.50 and 671,003 is: 1,465,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,133.50 : 671,003 = 671,003 : x
  2. Step 2: Convert to fraction form
    307,133.50/671,003 = 671,003/x
  3. Step 3: Cross multiply
    307,133.50x = 671,003 × 671,003
  4. Step 4: Simplify right side
    307,133.50x = 450,245,026,009
  5. Step 5: Solve for x
    x = 450,245,026,009/307,133.50
  6. Step 6: Final answer
    x = 1,465,958.70

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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.