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Finding the Third Proportional to 328,427 and 707,498

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Solution

The third proportional to 328,427 and 707,498 is: 1,524,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,427 : 707,498 = 707,498 : x
  2. Step 2: Convert to fraction form
    328,427/707,498 = 707,498/x
  3. Step 3: Cross multiply
    328,427x = 707,498 × 707,498
  4. Step 4: Simplify right side
    328,427x = 500,553,420,004
  5. Step 5: Solve for x
    x = 500,553,420,004/328,427
  6. Step 6: Final answer
    x = 1,524,093.39

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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.