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Finding the Third Proportional to 320,132.25 and 463,674.38

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Solution

The third proportional to 320,132.25 and 463,674.38 is: 671,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,132.25 : 463,674.38 = 463,674.38 : x
  2. Step 2: Convert to fraction form
    320,132.25/463,674.38 = 463,674.38/x
  3. Step 3: Cross multiply
    320,132.25x = 463,674.38 × 463,674.38
  4. Step 4: Simplify right side
    320,132.25x = 214,993,926,031.64
  5. Step 5: Solve for x
    x = 214,993,926,031.64/320,132.25
  6. Step 6: Final answer
    x = 671,578.47

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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.