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Finding the Third Proportional to 365,122.69 and 791,830.69

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Solution

The third proportional to 365,122.69 and 791,830.69 is: 1,717,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,122.69 : 791,830.69 = 791,830.69 : x
  2. Step 2: Convert to fraction form
    365,122.69/791,830.69 = 791,830.69/x
  3. Step 3: Cross multiply
    365,122.69x = 791,830.69 × 791,830.69
  4. Step 4: Simplify right side
    365,122.69x = 626,995,837,666.72
  5. Step 5: Solve for x
    x = 626,995,837,666.72/365,122.69
  6. Step 6: Final answer
    x = 1,717,219.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.