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Finding the Third Proportional to 301,464 and 479,871

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Solution

The third proportional to 301,464 and 479,871 is: 763,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464 : 479,871 = 479,871 : x
  2. Step 2: Convert to fraction form
    301,464/479,871 = 479,871/x
  3. Step 3: Cross multiply
    301,464x = 479,871 × 479,871
  4. Step 4: Simplify right side
    301,464x = 230,276,176,641
  5. Step 5: Solve for x
    x = 230,276,176,641/301,464
  6. Step 6: Final answer
    x = 763,859.62

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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.