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Finding the Third Proportional to 301,452 and 479,853

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Solution

The third proportional to 301,452 and 479,853 is: 763,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,452 : 479,853 = 479,853 : x
  2. Step 2: Convert to fraction form
    301,452/479,853 = 479,853/x
  3. Step 3: Cross multiply
    301,452x = 479,853 × 479,853
  4. Step 4: Simplify right side
    301,452x = 230,258,901,609
  5. Step 5: Solve for x
    x = 230,258,901,609/301,452
  6. Step 6: Final answer
    x = 763,832.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.