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Finding the Third Proportional to 301,394 and 413,270

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Solution

The third proportional to 301,394 and 413,270 is: 566,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,394 : 413,270 = 413,270 : x
  2. Step 2: Convert to fraction form
    301,394/413,270 = 413,270/x
  3. Step 3: Cross multiply
    301,394x = 413,270 × 413,270
  4. Step 4: Simplify right side
    301,394x = 170,792,092,900
  5. Step 5: Solve for x
    x = 170,792,092,900/301,394
  6. Step 6: Final answer
    x = 566,673.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.