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Finding the Third Proportional to 385,983.56 and 846,735.19

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Solution

The third proportional to 385,983.56 and 846,735.19 is: 1,857,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,983.56 : 846,735.19 = 846,735.19 : x
  2. Step 2: Convert to fraction form
    385,983.56/846,735.19 = 846,735.19/x
  3. Step 3: Cross multiply
    385,983.56x = 846,735.19 × 846,735.19
  4. Step 4: Simplify right side
    385,983.56x = 716,960,477,750.66
  5. Step 5: Solve for x
    x = 716,960,477,750.66/385,983.56
  6. Step 6: Final answer
    x = 1,857,489.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.