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Finding the Third Proportional to 302,044 and 479,850

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Solution

The third proportional to 302,044 and 479,850 is: 762,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,044 : 479,850 = 479,850 : x
  2. Step 2: Convert to fraction form
    302,044/479,850 = 479,850/x
  3. Step 3: Cross multiply
    302,044x = 479,850 × 479,850
  4. Step 4: Simplify right side
    302,044x = 230,256,022,500
  5. Step 5: Solve for x
    x = 230,256,022,500/302,044
  6. Step 6: Final answer
    x = 762,326.09

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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.