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Finding the Third Proportional to 183,609 and 400,914

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Solution

The third proportional to 183,609 and 400,914 is: 875,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,609 : 400,914 = 400,914 : x
  2. Step 2: Convert to fraction form
    183,609/400,914 = 400,914/x
  3. Step 3: Cross multiply
    183,609x = 400,914 × 400,914
  4. Step 4: Simplify right side
    183,609x = 160,732,035,396
  5. Step 5: Solve for x
    x = 160,732,035,396/183,609
  6. Step 6: Final answer
    x = 875,403.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.