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Finding the Third Proportional to 375,814.69 and 835,462.69

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Solution

The third proportional to 375,814.69 and 835,462.69 is: 1,857,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,814.69 : 835,462.69 = 835,462.69 : x
  2. Step 2: Convert to fraction form
    375,814.69/835,462.69 = 835,462.69/x
  3. Step 3: Cross multiply
    375,814.69x = 835,462.69 × 835,462.69
  4. Step 4: Simplify right side
    375,814.69x = 697,997,902,204.72
  5. Step 5: Solve for x
    x = 697,997,902,204.72/375,814.69
  6. Step 6: Final answer
    x = 1,857,292.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.