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Finding the Third Proportional to 399,499.50 and 855,861

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Solution

The third proportional to 399,499.50 and 855,861 is: 1,833,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,499.50 : 855,861 = 855,861 : x
  2. Step 2: Convert to fraction form
    399,499.50/855,861 = 855,861/x
  3. Step 3: Cross multiply
    399,499.50x = 855,861 × 855,861
  4. Step 4: Simplify right side
    399,499.50x = 732,498,051,321
  5. Step 5: Solve for x
    x = 732,498,051,321/399,499.50
  6. Step 6: Final answer
    x = 1,833,539.34

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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.