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Finding the Third Proportional to 302,631 and 404,124

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Solution

The third proportional to 302,631 and 404,124 is: 539,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,631 : 404,124 = 404,124 : x
  2. Step 2: Convert to fraction form
    302,631/404,124 = 404,124/x
  3. Step 3: Cross multiply
    302,631x = 404,124 × 404,124
  4. Step 4: Simplify right side
    302,631x = 163,316,207,376
  5. Step 5: Solve for x
    x = 163,316,207,376/302,631
  6. Step 6: Final answer
    x = 539,654.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.