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Finding the Third Proportional to 328,933 and 708,621

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Solution

The third proportional to 328,933 and 708,621 is: 1,526,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,933 : 708,621 = 708,621 : x
  2. Step 2: Convert to fraction form
    328,933/708,621 = 708,621/x
  3. Step 3: Cross multiply
    328,933x = 708,621 × 708,621
  4. Step 4: Simplify right side
    328,933x = 502,143,721,641
  5. Step 5: Solve for x
    x = 502,143,721,641/328,933
  6. Step 6: Final answer
    x = 1,526,583.59

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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.