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Finding the Third Proportional to 385,815 and 846,334.50

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Solution

The third proportional to 385,815 and 846,334.50 is: 1,856,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,815 : 846,334.50 = 846,334.50 : x
  2. Step 2: Convert to fraction form
    385,815/846,334.50 = 846,334.50/x
  3. Step 3: Cross multiply
    385,815x = 846,334.50 × 846,334.50
  4. Step 4: Simplify right side
    385,815x = 716,282,085,890.25
  5. Step 5: Solve for x
    x = 716,282,085,890.25/385,815
  6. Step 6: Final answer
    x = 1,856,542.87

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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.