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Finding the Third Proportional to 323,040 and 481,407

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Solution

The third proportional to 323,040 and 481,407 is: 717,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,040 : 481,407 = 481,407 : x
  2. Step 2: Convert to fraction form
    323,040/481,407 = 481,407/x
  3. Step 3: Cross multiply
    323,040x = 481,407 × 481,407
  4. Step 4: Simplify right side
    323,040x = 231,752,699,649
  5. Step 5: Solve for x
    x = 231,752,699,649/323,040
  6. Step 6: Final answer
    x = 717,411.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.