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Finding the Third Proportional to 385,732.13 and 846,186.75

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Solution

The third proportional to 385,732.13 and 846,186.75 is: 1,856,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.13 : 846,186.75 = 846,186.75 : x
  2. Step 2: Convert to fraction form
    385,732.13/846,186.75 = 846,186.75/x
  3. Step 3: Cross multiply
    385,732.13x = 846,186.75 × 846,186.75
  4. Step 4: Simplify right side
    385,732.13x = 716,032,015,875.56
  5. Step 5: Solve for x
    x = 716,032,015,875.56/385,732.13
  6. Step 6: Final answer
    x = 1,856,293.45

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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.