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Finding the Third Proportional to 328,396 and 707,456

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Solution

The third proportional to 328,396 and 707,456 is: 1,524,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,396 : 707,456 = 707,456 : x
  2. Step 2: Convert to fraction form
    328,396/707,456 = 707,456/x
  3. Step 3: Cross multiply
    328,396x = 707,456 × 707,456
  4. Step 4: Simplify right side
    328,396x = 500,493,991,936
  5. Step 5: Solve for x
    x = 500,493,991,936/328,396
  6. Step 6: Final answer
    x = 1,524,056.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.