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Finding the Third Proportional to 302,256 and 479,952

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Solution

The third proportional to 302,256 and 479,952 is: 762,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,256 : 479,952 = 479,952 : x
  2. Step 2: Convert to fraction form
    302,256/479,952 = 479,952/x
  3. Step 3: Cross multiply
    302,256x = 479,952 × 479,952
  4. Step 4: Simplify right side
    302,256x = 230,353,922,304
  5. Step 5: Solve for x
    x = 230,353,922,304/302,256
  6. Step 6: Final answer
    x = 762,115.30

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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.