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Finding the Third Proportional to 328,740.50 and 481,287

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Solution

The third proportional to 328,740.50 and 481,287 is: 704,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,740.50 : 481,287 = 481,287 : x
  2. Step 2: Convert to fraction form
    328,740.50/481,287 = 481,287/x
  3. Step 3: Cross multiply
    328,740.50x = 481,287 × 481,287
  4. Step 4: Simplify right side
    328,740.50x = 231,637,176,369
  5. Step 5: Solve for x
    x = 231,637,176,369/328,740.50
  6. Step 6: Final answer
    x = 704,620.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.