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Finding the Third Proportional to 418,433.54 and 626,028.48

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Solution

The third proportional to 418,433.54 and 626,028.48 is: 936,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,433.54 : 626,028.48 = 626,028.48 : x
  2. Step 2: Convert to fraction form
    418,433.54/626,028.48 = 626,028.48/x
  3. Step 3: Cross multiply
    418,433.54x = 626,028.48 × 626,028.48
  4. Step 4: Simplify right side
    418,433.54x = 391,911,661,567.66
  5. Step 5: Solve for x
    x = 391,911,661,567.66/418,433.54
  6. Step 6: Final answer
    x = 936,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.