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Finding the Third Proportional to 359,354 and 791,622

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Solution

The third proportional to 359,354 and 791,622 is: 1,743,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,354 : 791,622 = 791,622 : x
  2. Step 2: Convert to fraction form
    359,354/791,622 = 791,622/x
  3. Step 3: Cross multiply
    359,354x = 791,622 × 791,622
  4. Step 4: Simplify right side
    359,354x = 626,665,390,884
  5. Step 5: Solve for x
    x = 626,665,390,884/359,354
  6. Step 6: Final answer
    x = 1,743,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.