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Finding the Third Proportional to 301,154 and 654,794

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Solution

The third proportional to 301,154 and 654,794 is: 1,423,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,154 : 654,794 = 654,794 : x
  2. Step 2: Convert to fraction form
    301,154/654,794 = 654,794/x
  3. Step 3: Cross multiply
    301,154x = 654,794 × 654,794
  4. Step 4: Simplify right side
    301,154x = 428,755,182,436
  5. Step 5: Solve for x
    x = 428,755,182,436/301,154
  6. Step 6: Final answer
    x = 1,423,707.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.