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Finding the Third Proportional to 395,320 and 846,404

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Solution

The third proportional to 395,320 and 846,404 is: 1,812,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,320 : 846,404 = 846,404 : x
  2. Step 2: Convert to fraction form
    395,320/846,404 = 846,404/x
  3. Step 3: Cross multiply
    395,320x = 846,404 × 846,404
  4. Step 4: Simplify right side
    395,320x = 716,399,731,216
  5. Step 5: Solve for x
    x = 716,399,731,216/395,320
  6. Step 6: Final answer
    x = 1,812,202.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.