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Finding the Third Proportional to 343,022 and 801,665

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Solution

The third proportional to 343,022 and 801,665 is: 1,873,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,022 : 801,665 = 801,665 : x
  2. Step 2: Convert to fraction form
    343,022/801,665 = 801,665/x
  3. Step 3: Cross multiply
    343,022x = 801,665 × 801,665
  4. Step 4: Simplify right side
    343,022x = 642,666,772,225
  5. Step 5: Solve for x
    x = 642,666,772,225/343,022
  6. Step 6: Final answer
    x = 1,873,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.