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Finding the Third Proportional to 300,069 and 654,058.50

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Solution

The third proportional to 300,069 and 654,058.50 is: 1,425,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,069 : 654,058.50 = 654,058.50 : x
  2. Step 2: Convert to fraction form
    300,069/654,058.50 = 654,058.50/x
  3. Step 3: Cross multiply
    300,069x = 654,058.50 × 654,058.50
  4. Step 4: Simplify right side
    300,069x = 427,792,521,422.25
  5. Step 5: Solve for x
    x = 427,792,521,422.25/300,069
  6. Step 6: Final answer
    x = 1,425,647.17

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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.