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Finding the Third Proportional to 359,562 and 798,933

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Solution

The third proportional to 359,562 and 798,933 is: 1,775,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,562 : 798,933 = 798,933 : x
  2. Step 2: Convert to fraction form
    359,562/798,933 = 798,933/x
  3. Step 3: Cross multiply
    359,562x = 798,933 × 798,933
  4. Step 4: Simplify right side
    359,562x = 638,293,938,489
  5. Step 5: Solve for x
    x = 638,293,938,489/359,562
  6. Step 6: Final answer
    x = 1,775,198.54

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Why These Related Problems?

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