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Finding the Third Proportional to 328,979.39 and 482,063.06

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Solution

The third proportional to 328,979.39 and 482,063.06 is: 706,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,979.39 : 482,063.06 = 482,063.06 : x
  2. Step 2: Convert to fraction form
    328,979.39/482,063.06 = 482,063.06/x
  3. Step 3: Cross multiply
    328,979.39x = 482,063.06 × 482,063.06
  4. Step 4: Simplify right side
    328,979.39x = 232,384,796,226.88
  5. Step 5: Solve for x
    x = 232,384,796,226.88/328,979.39
  6. Step 6: Final answer
    x = 706,381.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.