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Finding the Third Proportional to 327,924 and 707,508

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Solution

The third proportional to 327,924 and 707,508 is: 1,526,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,924 : 707,508 = 707,508 : x
  2. Step 2: Convert to fraction form
    327,924/707,508 = 707,508/x
  3. Step 3: Cross multiply
    327,924x = 707,508 × 707,508
  4. Step 4: Simplify right side
    327,924x = 500,567,570,064
  5. Step 5: Solve for x
    x = 500,567,570,064/327,924
  6. Step 6: Final answer
    x = 1,526,474.34

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Why These Related Problems?

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