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Finding the Third Proportional to 328,647 and 707,109

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Solution

The third proportional to 328,647 and 707,109 is: 1,521,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,647 : 707,109 = 707,109 : x
  2. Step 2: Convert to fraction form
    328,647/707,109 = 707,109/x
  3. Step 3: Cross multiply
    328,647x = 707,109 × 707,109
  4. Step 4: Simplify right side
    328,647x = 500,003,137,881
  5. Step 5: Solve for x
    x = 500,003,137,881/328,647
  6. Step 6: Final answer
    x = 1,521,398.76

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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.