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Finding the Third Proportional to 399,514 and 855,888

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Solution

The third proportional to 399,514 and 855,888 is: 1,833,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,514 : 855,888 = 855,888 : x
  2. Step 2: Convert to fraction form
    399,514/855,888 = 855,888/x
  3. Step 3: Cross multiply
    399,514x = 855,888 × 855,888
  4. Step 4: Simplify right side
    399,514x = 732,544,268,544
  5. Step 5: Solve for x
    x = 732,544,268,544/399,514
  6. Step 6: Final answer
    x = 1,833,588.48

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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.