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Finding the Third Proportional to 385,807 and 846,317

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Solution

The third proportional to 385,807 and 846,317 is: 1,856,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,807 : 846,317 = 846,317 : x
  2. Step 2: Convert to fraction form
    385,807/846,317 = 846,317/x
  3. Step 3: Cross multiply
    385,807x = 846,317 × 846,317
  4. Step 4: Simplify right side
    385,807x = 716,252,464,489
  5. Step 5: Solve for x
    x = 716,252,464,489/385,807
  6. Step 6: Final answer
    x = 1,856,504.59

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Why These Related Problems?

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