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Finding the Third Proportional to 285,616.13 and 620,394.19

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Solution

The third proportional to 285,616.13 and 620,394.19 is: 1,347,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,616.13 : 620,394.19 = 620,394.19 : x
  2. Step 2: Convert to fraction form
    285,616.13/620,394.19 = 620,394.19/x
  3. Step 3: Cross multiply
    285,616.13x = 620,394.19 × 620,394.19
  4. Step 4: Simplify right side
    285,616.13x = 384,888,947,883.79
  5. Step 5: Solve for x
    x = 384,888,947,883.79/285,616.13
  6. Step 6: Final answer
    x = 1,347,574.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.