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Finding the Third Proportional to 320,182 and 463,740

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Solution

The third proportional to 320,182 and 463,740 is: 671,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,182 : 463,740 = 463,740 : x
  2. Step 2: Convert to fraction form
    320,182/463,740 = 463,740/x
  3. Step 3: Cross multiply
    320,182x = 463,740 × 463,740
  4. Step 4: Simplify right side
    320,182x = 215,054,787,600
  5. Step 5: Solve for x
    x = 215,054,787,600/320,182
  6. Step 6: Final answer
    x = 671,664.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.