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Finding the Third Proportional to 328,976 and 707,848

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Solution

The third proportional to 328,976 and 707,848 is: 1,523,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,976 : 707,848 = 707,848 : x
  2. Step 2: Convert to fraction form
    328,976/707,848 = 707,848/x
  3. Step 3: Cross multiply
    328,976x = 707,848 × 707,848
  4. Step 4: Simplify right side
    328,976x = 501,048,791,104
  5. Step 5: Solve for x
    x = 501,048,791,104/328,976
  6. Step 6: Final answer
    x = 1,523,055.76

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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.