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Finding the Third Proportional to 328,397 and 707,458

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Solution

The third proportional to 328,397 and 707,458 is: 1,524,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,397 : 707,458 = 707,458 : x
  2. Step 2: Convert to fraction form
    328,397/707,458 = 707,458/x
  3. Step 3: Cross multiply
    328,397x = 707,458 × 707,458
  4. Step 4: Simplify right side
    328,397x = 500,496,821,764
  5. Step 5: Solve for x
    x = 500,496,821,764/328,397
  6. Step 6: Final answer
    x = 1,524,060.27

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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.