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Finding the Third Proportional to 401,838 and 606,833

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Solution

The third proportional to 401,838 and 606,833 is: 916,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,838 : 606,833 = 606,833 : x
  2. Step 2: Convert to fraction form
    401,838/606,833 = 606,833/x
  3. Step 3: Cross multiply
    401,838x = 606,833 × 606,833
  4. Step 4: Simplify right side
    401,838x = 368,246,289,889
  5. Step 5: Solve for x
    x = 368,246,289,889/401,838
  6. Step 6: Final answer
    x = 916,404.84

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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.