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Finding the Third Proportional to 328,405 and 707,467

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Solution

The third proportional to 328,405 and 707,467 is: 1,524,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,405 : 707,467 = 707,467 : x
  2. Step 2: Convert to fraction form
    328,405/707,467 = 707,467/x
  3. Step 3: Cross multiply
    328,405x = 707,467 × 707,467
  4. Step 4: Simplify right side
    328,405x = 500,509,556,089
  5. Step 5: Solve for x
    x = 500,509,556,089/328,405
  6. Step 6: Final answer
    x = 1,524,061.92

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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.