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Finding the Third Proportional to 339,152.06 and 706,213.69

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Solution

The third proportional to 339,152.06 and 706,213.69 is: 1,470,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,152.06 : 706,213.69 = 706,213.69 : x
  2. Step 2: Convert to fraction form
    339,152.06/706,213.69 = 706,213.69/x
  3. Step 3: Cross multiply
    339,152.06x = 706,213.69 × 706,213.69
  4. Step 4: Simplify right side
    339,152.06x = 498,737,772,412.35
  5. Step 5: Solve for x
    x = 498,737,772,412.35/339,152.06
  6. Step 6: Final answer
    x = 1,470,543.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.