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Finding the Third Proportional to 300,973 and 626,857.50

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Solution

The third proportional to 300,973 and 626,857.50 is: 1,305,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,973 : 626,857.50 = 626,857.50 : x
  2. Step 2: Convert to fraction form
    300,973/626,857.50 = 626,857.50/x
  3. Step 3: Cross multiply
    300,973x = 626,857.50 × 626,857.50
  4. Step 4: Simplify right side
    300,973x = 392,950,325,306.25
  5. Step 5: Solve for x
    x = 392,950,325,306.25/300,973
  6. Step 6: Final answer
    x = 1,305,599.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.