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Finding the Third Proportional to 328,430 and 707,504

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Solution

The third proportional to 328,430 and 707,504 is: 1,524,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,430 : 707,504 = 707,504 : x
  2. Step 2: Convert to fraction form
    328,430/707,504 = 707,504/x
  3. Step 3: Cross multiply
    328,430x = 707,504 × 707,504
  4. Step 4: Simplify right side
    328,430x = 500,561,910,016
  5. Step 5: Solve for x
    x = 500,561,910,016/328,430
  6. Step 6: Final answer
    x = 1,524,105.32

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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.