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Finding the Third Proportional to 320,544 and 480,864

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Solution

The third proportional to 320,544 and 480,864 is: 721,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,544 : 480,864 = 480,864 : x
  2. Step 2: Convert to fraction form
    320,544/480,864 = 480,864/x
  3. Step 3: Cross multiply
    320,544x = 480,864 × 480,864
  4. Step 4: Simplify right side
    320,544x = 231,230,186,496
  5. Step 5: Solve for x
    x = 231,230,186,496/320,544
  6. Step 6: Final answer
    x = 721,368.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.