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Finding the Third Proportional to 359,569 and 798,950

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Solution

The third proportional to 359,569 and 798,950 is: 1,775,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,569 : 798,950 = 798,950 : x
  2. Step 2: Convert to fraction form
    359,569/798,950 = 798,950/x
  3. Step 3: Cross multiply
    359,569x = 798,950 × 798,950
  4. Step 4: Simplify right side
    359,569x = 638,321,102,500
  5. Step 5: Solve for x
    x = 638,321,102,500/359,569
  6. Step 6: Final answer
    x = 1,775,239.53

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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.