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Finding the Third Proportional to 359,448 and 550,620

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Solution

The third proportional to 359,448 and 550,620 is: 843,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,448 : 550,620 = 550,620 : x
  2. Step 2: Convert to fraction form
    359,448/550,620 = 550,620/x
  3. Step 3: Cross multiply
    359,448x = 550,620 × 550,620
  4. Step 4: Simplify right side
    359,448x = 303,182,384,400
  5. Step 5: Solve for x
    x = 303,182,384,400/359,448
  6. Step 6: Final answer
    x = 843,466.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.