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Finding the Third Proportional to 395,624 and 856,904

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Solution

The third proportional to 395,624 and 856,904 is: 1,856,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,624 : 856,904 = 856,904 : x
  2. Step 2: Convert to fraction form
    395,624/856,904 = 856,904/x
  3. Step 3: Cross multiply
    395,624x = 856,904 × 856,904
  4. Step 4: Simplify right side
    395,624x = 734,284,465,216
  5. Step 5: Solve for x
    x = 734,284,465,216/395,624
  6. Step 6: Final answer
    x = 1,856,015.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.