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Finding the Third Proportional to 401,834 and 606,827

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Solution

The third proportional to 401,834 and 606,827 is: 916,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,834 : 606,827 = 606,827 : x
  2. Step 2: Convert to fraction form
    401,834/606,827 = 606,827/x
  3. Step 3: Cross multiply
    401,834x = 606,827 × 606,827
  4. Step 4: Simplify right side
    401,834x = 368,239,007,929
  5. Step 5: Solve for x
    x = 368,239,007,929/401,834
  6. Step 6: Final answer
    x = 916,395.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.