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Finding the Third Proportional to 328,364 and 707,992

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Solution

The third proportional to 328,364 and 707,992 is: 1,526,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,364 : 707,992 = 707,992 : x
  2. Step 2: Convert to fraction form
    328,364/707,992 = 707,992/x
  3. Step 3: Cross multiply
    328,364x = 707,992 × 707,992
  4. Step 4: Simplify right side
    328,364x = 501,252,672,064
  5. Step 5: Solve for x
    x = 501,252,672,064/328,364
  6. Step 6: Final answer
    x = 1,526,515.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.