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Finding the Third Proportional to 301,351 and 466,910

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Solution

The third proportional to 301,351 and 466,910 is: 723,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,351 : 466,910 = 466,910 : x
  2. Step 2: Convert to fraction form
    301,351/466,910 = 466,910/x
  3. Step 3: Cross multiply
    301,351x = 466,910 × 466,910
  4. Step 4: Simplify right side
    301,351x = 218,004,948,100
  5. Step 5: Solve for x
    x = 218,004,948,100/301,351
  6. Step 6: Final answer
    x = 723,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.