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Finding the Third Proportional to 400,445.25 and 851,758.50

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Solution

The third proportional to 400,445.25 and 851,758.50 is: 1,811,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,445.25 : 851,758.50 = 851,758.50 : x
  2. Step 2: Convert to fraction form
    400,445.25/851,758.50 = 851,758.50/x
  3. Step 3: Cross multiply
    400,445.25x = 851,758.50 × 851,758.50
  4. Step 4: Simplify right side
    400,445.25x = 725,492,542,322.25
  5. Step 5: Solve for x
    x = 725,492,542,322.25/400,445.25
  6. Step 6: Final answer
    x = 1,811,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.