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Finding the Third Proportional to 328,788 and 707,512

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Solution

The third proportional to 328,788 and 707,512 is: 1,522,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,788 : 707,512 = 707,512 : x
  2. Step 2: Convert to fraction form
    328,788/707,512 = 707,512/x
  3. Step 3: Cross multiply
    328,788x = 707,512 × 707,512
  4. Step 4: Simplify right side
    328,788x = 500,573,230,144
  5. Step 5: Solve for x
    x = 500,573,230,144/328,788
  6. Step 6: Final answer
    x = 1,522,480.23

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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.